Turito Academy

Test Prep

Global form fields

An ideal string is passing over a smooth pulley as shown. Two blocks  and  are connected at the ends of the string. If  = 1 kg and tension in the string is 10 N, mass m2 is equal to <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses straight g equals 10 straight m divided by straight s squared close parentheses" width="99" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced separators=¨|¨»«mrow»«mi mathvariant=¨normal¨»g«/mi»«mo»=«/mo»«mn»10«/mn»«mi mathvariant=¨normal¨»m«/mi»«mo»/«/mo»«msup»«mi mathvariant=¨normal¨»s«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/math»'/> <img src="data:image/png;base64,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" alt="" width="105" height="175" />

Solution for the question - an ideal string is passing over a smooth pulley as shown. two blocks andare connected at the ends of the string. if = 1 kg and tensi

An ideal string is passing over a smooth pulley as shown. two b-Turito

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<img src="data:image/png;base64,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" class="Wirisformula" alt="Tan space open parentheses pi over 4 plus A over 2 close parentheses plus Tan space open parentheses pi over 4 minus A over 2 close parentheses equals fraction numerator 4 over denominator square root of 3 end fraction" width="278" height="43" style="vertical-align:-19px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mi»A«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»§#8722;«/mo»«mfrac»«mi»A«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mn»4«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mfrac»«/math»'/>; then the general solution of A=

Solution for the question - tan((pi)/(4)+(a)/(2))+tan((pi)/(4)-(a)/(2))=(4)/(sqrt3) ;then the generalsolution of a= n pi,aa n in z '/> 2pi pi+-(pi)/(4),aa pi in z '/>

Tan((pi)/(4)+(a)/(2))+tan((pi)/(4)-(a)/(2))=(4)/(sqrt3) ;then-Turito

Three forces ,  and  act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate? <img src="data:image/png;base64,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" alt="" width="101" height="186" />

Solution for the question - three forces , andact on an object simultaneously. these forcevectors are shown in the following free-body diagram. in which directi

Three forces , andact on an object simultaneously. these -Turito

The general solution of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHQAAAANCAYAAAB4t0ouAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAjdJREFUeNrtWD9IAlEcPiQkQgKRiJAQJCRExCUiHCKIaAiRoCGiIVwjWptbosGpJaQpIgiJiGiJiIYGISIipMWh2c0hRITr9+ATjuPd3bvXe3pFH3zoe+/ufL/v935/TsMQh2moQZ5YJbaIHeIrccMIHlYU2hxIqDLukbhOjGCcJj5hLihge6v/dYfqRIL4FqD9HBNLv9mhSeID8QtGmAIR2huvERvENqJvUnIPbc4cE/WAM7+PNR1gJeHeIyvlYSvb8ydxk5Ou6ygp7LMgqbm0Hs8OP+rlUObMQ0QYwxYM9Ys5pF0eXojjljH7jSOPfXrRCWFkioSLQ3PEJrFIDBFTxDPL+iwOeAbjDMZztueIaC6tBzslUQmHLtjmQjiVfjBMrOHU87BMLOP7oiV6dICd/m2PvoE1dDsuz6giQu0ReyWhubQeRYHGxBRskvzUnSgMXfK47o44j444psmZWU6W4NnCuvNRl+e0EOn2yG9JaP4jPVhnV0HOT/XBoUk4c0rg2l1EflawG5dJuTXOXkwJ+5zWOxKaq9DD2EOe1unQaRgy4uO9taz51Ub0EDQVRaiI5kr0cKqDqhzKCvoFcUgwiq/h+AgaiZjRP/BsqQjU0AInvV5KaK5EjxLaaV0OvUGEemGMeGvbMGsuTgfs0CReVVbhiDjxxLI+g642banNDZemz01zaT16aaWLmyY0OlQkrYVxouOc+8/R6Q3y37Ecam4XjUmB09V+IOreEaEymgdNj3/0G9/2RMdlvNoVJwAAAKd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+c2luPC9taT48bW8+JiN4QTA7PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz49PC9tbz48bW4+NDwvbW4+PG1pPmNvczwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPng8L21pPjwvbWF0aD7YzIlqAAAAAElFTkSuQmCC" class="Wirisformula" alt="sin space 2 x equals 4 cos space x" width="116" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»sin«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»=«/mo»«mn»4«/mn»«mi»cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«/math»'/> is

Solution for the question - the general solution of sin 2x=4cos x is 2pi pi,8pi in z '/>empty setn pi,aa n in z '/> (2pi+1)(pi)/(2),aa n in z '/>

The general solution of sin 2x=4cos x is -Turito

Here, we have to find the value of x. 11 sin2x + 7 cos2x = 8 . Or, 11 sin2x + 7 ( 1 - sin2x) = 8 . Or, 11 sin2x + 7 - 7sin2x = 8 . Or, 11sin2x - 7 sin2x = 8 - 7 . Or, 4sin2x = 1 Or, sin2x = 1/4 Or, Sin2 x= Sin2 π/6 x = π/6 Hence, the correct option is (c).

If <img src="data:image/png;base64,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" class="Wirisformula" alt="11 sin squared space x plus 7 Cos squared space x equals 8" width="172" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»11«/mn»«msup»«mi»sin«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«msup»«mi»Cos«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»8«/mn»«/math»'/> then x = - ....

Solution for the question - if 11sin^(2)x+7cos^(2)x=8 then x = - .... pi pi+-(pi)/(2),aa pi in z '/> pi pi+-(pi)/(3),aa n in z '/> pipi+-(pi)/(4),aa n in z '/>

If 11sin^(2)x+7cos^(2)x=8 then x = - .... -Turito

Here, we have to find the general solution. Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 . Or, Tan (2x - 1 ) = 1 . Or, Tan x = 1 . Hence, the correct option is (d).

The general solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator Tan space 2 x minus Tan space x over denominator 1 plus Tan space x times Tan space 2 x end fraction equals 1" width="172" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»Tan«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mi»x«/mi»«/mrow»«mrow»«mn»1«/mn»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8901;«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mn»1«/mn»«/math»'/> i

Solution for the question - the general solution of (tan 2x-tan x)/(1+tan x*tan 2x)=1 i pi pi+(pi)/(6),aa n in z '/> phi '/> pi pi+-(pi)/(4),aa n in z '/> pipi+(pi)/(4),aa n in z '/>

The general solution of (tan 2x-tan x)/(1+tan x*tan 2x)=1 i-Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Error converting from MathML to accessible text." width="114" height="33" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover»«mi»r«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«mo»=«/mo»«mi»x«/mi»«mover»«mi»i«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«mo»+«/mo»«mover»«mrow»«mi»y«/mi»«mover»«mi»j«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«/mrow»«mrow/»«/mover»«mo»+«/mo»«mi»Z«/mi»«mover»«mi»k«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«/math»'/> then <img src="data:image/png;base64,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" class="Wirisformula" alt="Error converting from MathML to accessible text." width="154" height="30" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mover accent=¨true¨»«mrow»«mi»r«/mi»«/mrow»«mo»-«/mo»«/mover»«mo»×«/mo»«mover accent=¨true¨»«mrow»«mi»i«/mi»«/mrow»«mo»-«/mo»«/mover»«/mrow»«/mfenced»«mo»⋅«/mo»«mfenced separators=¨|¨»«mrow»«mover accent=¨true¨»«mrow»«mi»r«/mi»«/mrow»«mo»-«/mo»«/mover»«mo»×«/mo»«mover accent=¨true¨»«mrow»«mi»j«/mi»«/mrow»«mo»-«/mo»«/mover»«/mrow»«/mfenced»«mo»+«/mo»«mi»x«/mi»«mi»y«/mi»«/math»'/> = 0

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Error converting from MathML to accessible text." width="114" height="33" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover»«mi»r«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«mo»=«/mo»«mi»x«/mi»«mover»«mi»i«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«mo»+«/mo»«mover»«mrow»«mi»y«/mi»«mover»«mi»j«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«/mrow»«mrow/»«/mover»«mo»+«/mo»«mi»Z«/mi»«mover»«mi»k«/mi»«mover accent=¨false¨»«mrow/»«mo»§#175;«/mo»«/mover»«/mover»«/math»'/> then <img src="data:image/png;base64,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" class="Wirisformula" alt="Error converting from MathML to accessible text." width="154" height="30" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mover accent=¨true¨»«mrow»«mi»r«/mi»«/mrow»«mo»-«/mo»«/mover»«mo»×«/mo»«mover accent=¨true¨»«mrow»«mi»i«/mi»«/mrow»«mo»-«/mo»«/mover»«/mrow»«/mfenced»«mo»⋅«/mo»«mfenced separators=¨|¨»«mrow»«mover accent=¨true¨»«mrow»«mi»r«/mi»«/mrow»«mo»-«/mo»«/mover»«mo»×«/mo»«mover accent=¨true¨»«mrow»«mi»j«/mi»«/mrow»«mo»-«/mo»«/mover»«/mrow»«/mfenced»«mo»+«/mo»«mi»x«/mi»«mi»y«/mi»«/math»'/>

Solution for the question - if r=xi+yj+zk then ( bar(r)xx bar(i))*( bar(r)xx bar(j))+xy | bar(r)| '/>   bar(r) '/>  10

If r=xi+yj+zk then ( bar(r)xx bar(i))*( bar(r)xx bar(j))+xy -Turito

The most general value of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/> satisfying the equations <img src="data:image/png;base64,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" class="Wirisformula" alt="Sin space theta equals fraction numerator 1 over denominator square root of 2 end fraction comma Cos space theta equals negative fraction numerator 1 over denominator square root of 2 end fraction" width="207" height="42" style="vertical-align:-19px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mfrac»«mn»1«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mfrac»«mo»,«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mo»§#8722;«/mo»«mfrac»«mn»1«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mfrac»«/math»'/> is

Solution for the question - the most general value of theta satisfying the equations sintheta=(1)/(sqrt2),cos theta=-(1)/(sqrt2) is pi pi+(pi)/(3),aa pi in z '/>

The most general value of theta satisfying the equations -Turito

The smallest value of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/> satisfying the equation <img src="data:image/png;base64,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" class="Wirisformula" alt="square root of 3 left parenthesis Cot space theta plus Tan space theta right parenthesis equals 4" width="166" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»3«/mn»«/msqrt»«mo»(«/mo»«mi»Cot«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»)«/mo»«mo»=«/mo»«mn»4«/mn»«/math»'/> IS

Solution for the question - the smallest value of theta satisfying the equation sqrt3(cottheta+tan theta)=4 is (pi)/(12) '/> (pi)/(6) '/> (3i)/(3) '/> (2pi)/(3) '/>

The smallest value of theta satisfying the equation sqrt3-Turito

If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAAANCAYAAACQGz1AAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAuhJREFUeNrtWU1kXFEUfkZE1CijKqqqjKqKiG4qYlSFiqoRY+iiqqq6r2yri+67ii5KRGVVpWJkUdVNRRZVoWJEjRpGddFFhC5mESPK6zl8o7e35/689+6bGSMf3+KdO+/vu+f3TRT5I47CoELcJHaJx8Qm8Z7HOQ3iT+IOcT4aHywS3xOPiD1im7hKPDMCepwmviTugmuwJUYo5+GXvUss4niG+Ak2CfMQqoDjs8TOGDnPNrFOnFRsV4kfRkCPj8Rl5bgK20jhInHfsMaZ6bxmY2HnovFGd8h63CG+EOyreqCXEQFHyDCxR+aJlZt0kHI5q1xI+bA9wXaTuCHY3xBv57BhFbwDP8sP4n1tnSOvhXLb0qIyiZYu8DW+DVkPbi2WDGV2UzV8MQjhch52nOfIHIyHED8pFlC6dKwjpetoGF4sC7hUHBJrKAmXia+1csFBMovjWRwvaNfx0dKEaWjYNjhDGj1iD0r4pZXSPth2oBo4SkopnGdRsxUQlUkwhWasIqy1LC88nUOkPXasV4VMtKXZfLR0bfCK4XeD1OO3Ze2fPa45mlZb2crSWJcgvhQ1BUPdL1j6gSyR1nVMEl0hEieFZ/HR0qZHDcF0I5AeeTjPfy1GEWmxhZSdt/OU4TiXLClc6uyv6TU3EOKU61KmdWnpQhEOFEKPtMF0YChbU3rZUvGEuJez81yBuKcsv+mPpDqeoS8IjcNAmcdHyzQDxKD1YIe8JdiXbM5q6ltCOQ9H0FvihEf0NYW0vmeIiKxY9+h5loUS1bCck6YHjDB2t4esRx2a6NiwleRHGDXzcp53yDw++KpsKJ/zWWhaQ6GM8byOTedvKa+08sDT1YyywR1Do+/SUsUOptYJ3JeHkO/EB0PWI8Kzr+DZ2EGfStN0v/Zxk8Sfys/l6DxJau8coo2jdz/DCJxkXN+FDk3hflV8fznGRtYs72fTUsV1BFQP3LY4xKD1KCGAepgi16K//wyc4ATp8QcVQQTPPRu16gAAAM50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+c2luPC9taT48bW8+JiN4QTA7PC9tbz48bW4+MjwvbW4+PG1pPiYjeDNCODs8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPmNvczwvbWk+PG1vPiYjeEEwOzwvbW8+PG1uPjM8L21uPjxtaT4mI3gzQjg7PC9taT48bW8+PTwvbW8+PG1uPjA8L21uPjwvbWF0aD52SJrcAAAAAElFTkSuQmCC" class="Wirisformula" alt="sin space 2 theta minus cos space 3 theta equals 0" width="143" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»sin«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi»§#952;«/mi»«mo»§#8722;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mi»§#952;«/mi»«mo»=«/mo»«mn»0«/mn»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/> is acute then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/>

Solution for the question - if sin 2theta-cos 3theta=0 and theta is acute then theta 30^(@) '/> 18^(@) '/> 54^(@) '/> 36^(@) '/>

If sin 2theta-cos 3theta=0 and theta is acute then th-Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="sin space open parentheses x plus 28 to the power of ring operator close parentheses equals cos space open parentheses 3 x minus 78 to the power of ring operator close parentheses" width="224" height="17" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»sin«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mi»x«/mi»«mo»+«/mo»«msup»«mn»28«/mn»«mo»§#8728;«/mo»«/msup»«/mrow»«/mfenced»«mo»=«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«msup»«mn»78«/mn»«mo»§#8728;«/mo»«/msup»«/mrow»«/mfenced»«/math»'/> then x=

Solution for the question - if sin(x+28^(@))=cos(3x-78^(@)) then x= 47^(0) '/> 35^(@),8^(@) '/> 39^(@) '/> 37^(@),8^(@) '/>

If sin(x+28^(@))=cos(3x-78^(@)) then x= -Turito

Solution for the question - the adjoining figure shows a force of 40 n pulling a body of mass 5 kg in adirection above the horizontal. the body is in rest on a

The adjoining figure shows a force of 40 n pulling a body of ma-Turito

A sphere of mass m is kept in equilibrium with the help of several springs as shown in the figure. Measurement shows that one of the springs applies a force   on the sphere. With what acceleration the sphere will move immediately after this particular spring is cut? <img src="data:image/png;base64,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" 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Solution for the question - a sphere of mass m is kept in equilibrium with the help of several springsas shown in the figure. measurement shows that one of the

A sphere of mass m is kept in equilibrium with the help of seve-Turito

If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if  is the coefficient of friction between sand particle is

Solution for the question - if you want to pile up sand onto a circular area of radius r. the greatestheight of the sand pile that can be erected without spilli

If you want to pile up sand onto a circular area of radius r. t-Turito

Two forces are simultaneously applied on an object. What third force would make the net force to point to the left (–x direction) ? <img 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Solution for the question - two forces are simultaneously applied on an object. what third force wouldmake the net force to point to the left (x direction) ?

Two forces are simultaneously applied on an object. what third -Turito

A car is going at a speed of 6 m/s when it encounters a 15 m slope of angle  . The friction coefficient between the road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which it can reach the bottom is <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses straight g equals 10 straight m divided by straight s squared close parentheses" width="99" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced separators=¨|¨»«mrow»«mi mathvariant=¨normal¨»g«/mi»«mo»=«/mo»«mn»10«/mn»«mi mathvariant=¨normal¨»m«/mi»«mo»/«/mo»«msup»«mi mathvariant=¨normal¨»s«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/math»'/> <img 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" 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Solution for the question - a car is going at a speed of 6 m/s when it encounters a 15 m slope of angle. the friction coefficient between the road and tyre is 0