Question
If
, then cos A cosecA + tan A sec A =
The correct answer is: ![fraction numerator 16 square root of 2 plus 3 over denominator 8 end fraction](data:image/png;base64,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)
Related Questions to study
If sin B = 1/2 then 3cos B – 4 cos3 B =
Hence option 4 is correct
If sin B = 1/2 then 3cos B – 4 cos3 B =
Hence option 4 is correct
A minutes hand of a table clock is 3cm long. How far does its tip move in 20 minutes
A minutes hand of a table clock is 3cm long. How far does its tip move in 20 minutes
If ![fraction numerator x to the power of 2 end exponent plus y to the power of 2 end exponent plus z to the power of 2 end exponent minus 64 over denominator x y minus y z minus z x end fraction equals negative 2 blank a n d blank x plus y equals 3 z comma blank t h e n blank t h e blank v a l u e blank o f blank z blank i s](data:image/png;base64,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)
Hence option 3 is correct
If ![fraction numerator x to the power of 2 end exponent plus y to the power of 2 end exponent plus z to the power of 2 end exponent minus 64 over denominator x y minus y z minus z x end fraction equals negative 2 blank a n d blank x plus y equals 3 z comma blank t h e n blank t h e blank v a l u e blank o f blank z blank i s](data:image/png;base64,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)
Hence option 3 is correct
If ![a to the power of 2 end exponent plus b to the power of 2 end exponent equals 117 blank a n d blank a b equals 54 comma blank t h e n blank fraction numerator a plus b over denominator a minus b end fraction blank i s](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATQAAAAkCAYAAAAHIMawAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAABc5JREFUeNrtnV+EXUccx8daqyKWiLXWPoRYFRG1VKyoqhJRq9YV9iEqD+sSVVUVJWpFVF+qD1WVl6hatWpZkYdYeVsREZWXiKqIpQ9VVausWBWrltv59f6Onp2duWdmzszcOaffDz/2nr3n3pnf78z3zr+fEQIAAMLzUtoI3AAAaDoz0n6CGwAAudJzeG9H2hpcBgCIBQ3/PpO2Le1vaU+lnYgkaDekLfP3/SFtT9p9aVMIAwAgBBvSvpF2jMVtnXtSMQSNPvsXaddK3/cVem0AgBBcYpEp8720+UiCtiXttHJtXNouQgEAqAsN984p1x5UDDl7FmYa2r7UXH8Fgmb3q9HjOYFHor+6AgA4iLqFgv7+y6Ot2TDHAqpCgroJAbGDAvSBtCd4dgE4xJ/K6zc82oqtoNHwdkVz/aq067k6KFcB2cOzC8AhfuchXwEJy+1IgkYLD0vKtTHR35eW/SpnTgLyFs8LAAAO8rm0W9wRoXmzH6TdiyRod0R/UeA8v57ma0u5Oym2gLikTkzxEPhkxPK8yr9sT2u+z2eiNTUh0lZSpb74+vLdiP7OMe2H9oWt87NJvTXaj9aJ8D30uQssavvcDjq5+zS2gLikTpCAbCTozq5Ku2LRCGzfp7Io7dsMHvwQaSspU198ROmotGc1BW2G28Aw616HiQb1MKP61FdAYqROTHHXeTyhc3sR6jsp7aEyzzEsQqStpEx98RElGn51awraRR66DbPuYAA2qRF1BCRG6gSV5VRiP8UQtLvSZgPFiHz3CYvkCnfVd6R9ZOip0CTuC/YxTRTfFP0d3nXLkCr1xVWUaIVvs4YYFvUrD22vKf+j18dFf3f89gD/T7LPyT+/8jSObyzbzA3NM7nMPtvXxOBfbFIj6ghIjNQJl3kT342CsQXtfWG/nG0To3V+4Fe4gdD7prnRHFGEiURmif8eLzXUToAyuKa++MbH5bkqVttO1BQ0IcypQ+vsx4c8l2Ty/ziXZYFf0876nz1j2XZUXy/z9MyY6Qbb1Ig6k9htSZ0IKWjUsB5LG7V4r22MyHdXNPfvcK+h4LqhJ7bFjaZuGVLFr9gXucs/uFe556njC2kf1hyuFjwX+p32Wyz6Ryv8/6W0TzU/FmMesWw76jNJc5fnB93gkxph86C1MXUipKCRj9+2/DybGJl2gI9qfPqbptGZfO9ahmHEj+r4Ogv1c81I4jVxeBLfV9BMdSz8f6TC/yM8zJ9Qru2K/1byXGLp2/5yMB9f0wLak1Lv9hAhUiNCCUGs1InchpyLwm0vkE2MBvmufH1W6LfcmO4PVYbNBPEhLmjqRz3hmUCCNjfAf5sW/p8z1O+RRyzbjskPUzysv6/rkYdIjQglBLmnToQQtBHuRcw6fK9NjEy+U6/TCt2qg+9DlCF1/PYcBdOFSzzUFp7+X9AM3X0/q+0Mqi/1+mke8rL6jxCpEaGEIPfUiRCC1hHum5JtYkS+6xp82lW+X9egVg1zNq5lGHb8zoj+okSoWKp8rczFDaq7zv/nuMdY1Q66DtfbSlV9v5P2nnoxRGpEqIcn99SJEIK25lEfmxiRn+YNPi1fpzmeZ6UeIs09bbBgzQcoQ8r43WGBGGF7h8XsomeM1kT1Su9NbkjC0/+C/f8xl5lWgmmB4E3Pz2ozg+p7lv2oXSBJlRpRRazUiRBCZruNoOp92/wQu1IVox2h35yruz7JDwsNzX4U/cUJ0/0uZUgdv8XSd+1w2c7W+NGxEbTTLP49cXBV0sX/J3kOaJ8bZdfiHmEZozah1vcF+538RvNn1tvIJgTInQmUIQpr/7NeUAxwjB0AGUDDcNrgOgpXeINj7ADIhGkejgN/kM8KAIhK3WPsXMAxdgCAqNQ9xs4FHGMHAIhGiGPsXMAxdgCAaOAYOwBAa0iRq13QqGPsAADNI0Wudnl427hj7AAAzSFFrnZBo4+xAwDkT4pc7YLGHmMHAGgOTT/GDgAAjLQyV/sfnld5j+ME79MAAAHedEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPmE8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaT5iPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz49PC9tbz48bW4+MTE3PC9tbj48bWk+JiN4QTA7PC9taT48bWk+YTwvbWk+PG1pPm48L21pPjxtaT5kPC9taT48bWk+JiN4QTA7PC9taT48bWk+YTwvbWk+PG1pPmI8L21pPjxtbz49PC9tbz48bW4+NTQ8L21uPjxtbz4sPC9tbz48bWk+JiN4QTA7PC9taT48bWk+dDwvbWk+PG1pPmg8L21pPjxtaT5lPC9taT48bWk+bjwvbWk+PG1pPiYjeEEwOzwvbWk+PG1mcmFjPjxtcm93PjxtaT5hPC9taT48bW8+KzwvbW8+PG1pPmI8L21pPjwvbXJvdz48bXJvdz48bWk+YTwvbWk+PG1vPi08L21vPjxtaT5iPC9taT48L21yb3c+PC9tZnJhYz48bWk+JiN4QTA7PC9taT48bWk+aTwvbWk+PG1pPnM8L21pPjwvbWF0aD5pxC+VAAAAAElFTkSuQmCC)
Hence option 2 is correct
If ![a to the power of 2 end exponent plus b to the power of 2 end exponent equals 117 blank a n d blank a b equals 54 comma blank t h e n blank fraction numerator a plus b over denominator a minus b end fraction blank i s](data:image/png;base64,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)
Hence option 2 is correct
The appropriate formula that can be used to find the value of ![open parentheses 50 fraction numerator 1 over denominator 4 end fraction cross times 49 fraction numerator 3 over denominator 4 end fraction close parentheses](data:image/png;base64,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)
Hence option 3 is correct
The appropriate formula that can be used to find the value of ![open parentheses 50 fraction numerator 1 over denominator 4 end fraction cross times 49 fraction numerator 3 over denominator 4 end fraction close parentheses](data:image/png;base64,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)
Hence option 3 is correct
Divide ![a x to the power of 2 end exponent minus a y to the power of 2 end exponent blank b y blank a x plus a y](data:image/png;base64,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)
Hence option 1 is correct
Divide ![a x to the power of 2 end exponent minus a y to the power of 2 end exponent blank b y blank a x plus a y](data:image/png;base64,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)
Hence option 1 is correct
Find the missing term in ![open parentheses fraction numerator 3 x over denominator 4 end fraction minus fraction numerator 4 y over denominator 3 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 9 x to the power of 2 end exponent over denominator 16 end fraction plus horizontal ellipsis.. plus fraction numerator 16 y to the power of 2 end exponent over denominator 9 end fraction](data:image/png;base64,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)
Hence option 2 is correct
Find the missing term in ![open parentheses fraction numerator 3 x over denominator 4 end fraction minus fraction numerator 4 y over denominator 3 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 9 x to the power of 2 end exponent over denominator 16 end fraction plus horizontal ellipsis.. plus fraction numerator 16 y to the power of 2 end exponent over denominator 9 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAApCAYAAAAcRjS8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABeVJREFUeNrtnV9kXFkcx4+IiBpLRa1Vq0RVVFVZtVZFhaiKiFpqVVVViKp9yMO+rKq1Kqx9qFVVVq21qsKqPlTFslZErVUqoqqiRJ/2ofKyYtUYYfr7yS/27uScc3/3nnPuPefO78OP5M7MnTm/P+ffvfMdpYTQdMk6YH+CHZZ2CBKT5jIAdg1sVdohSEyaT1vaIcQSE+wd7ojfWNwmf3E4DbbSgDY3pR1NonBMxsHWwAYNj0+ALYG9ox7kNdgPYCOJOWaa1jeuoJ9ekKNtfETrqNEKA/+UYoSxeujpvatuR2ocAbtBNWTjJNivYFsUo8eMHPIWk31gb8BOWJ6zDPY52FDmGD7/t4SC0QJ75anQkWPkt5Yl+E8oIFVwBuwlJdMAdUazYOtgHzomcZXtSJH7YHM5uTVHhX2E/v8A7CJ1zJXE5CbY3ZIN3EooGD9S4nc9nvM2+U/X2y5RMKviuaF3Pw/2vcOoUXU7UsaUW0cpPj4oFZMDYP+AHSzxhqM0WvSCxfSdoUOZrSkAp8D+sATjJ7AvNMfnwRZynL5FfsyCgRiruI3bhuM4uq+WjFEd7WhioeMgc4Hxek4elorJdZp2FAGngVdonT5leM5qz3QRn1/XRt8QracPWYJxWTPq7aM2jjCCc0MT8F4LzQbYJ5rjh2i9XiZGdbSjiYW+zpxmc/KwVExwzTpeoBFZm7c89yzYLfp7MjOa1gGOXF/mBGOKNkmyfKMpYNNsYT2CJDtPewanaRRHm6aC7kQeo6YXepvW1Y+o0+3QVP6ixzy0Lug3S7xuP9g5sGfKvmP4Oz2+purbnT+udnYm84KBn+9lz5IGR8hh5vu8jWSKi/5epsRqU9IcNozoscSoHwq9Sx0uFvIgdcKnaKS+5jEPteBU7YHD61tU7Cbmqec6XqPjn6m9twiagpEthls5M5ZeHpA/Y2TYEqcYYtQPhY77OLp9MLxy9bfHPNTyC9hVx3O0LdPZh/RBL9TseJtlwcsco2Qb1OtymSV/xgjeA3Ez4hj1Q6EvWfKp4zEPtTxR5s007rT4teY4fsDHtInQorXISALBwEKdodH5UsFznqVgxsiCZjSJPUZNK3Scnut208c0sy2XPNSyqfZeFjKxQps9u+uLCdr4udzzvAOU8NmkwQ2h+wkEA6dIuIP+ouQyZrPmduFmWvampoO0iTOTYIyaVuhDVEOz6r+7Tz+lXJv0mIfGNSl3WjBOM4DdTZ5lSo7exjwyrEUWadSLORjn6LGZEuccUOYNr6qYpLhs05pwUbP2TiVGKRZ43iUv7GDvgf1LMVpR+iteLnlYKOH7FXTsXw6v74gLhQjyUAo9B5zOfib+rHwmJZ/Nbx5KYlo4RksT8acUeup5KIkZabJ0VbHLgFLo/fXZpHHiT/GPxM69cd0KLMQoV8fnrStZuhFYijOVWPMrSExkBJKpu4yaMqIL4k8pdHG8IP6UQhfHSyILJf3Tu1zJ+7/IMSl0QfwZkR+rLvRGsx3gnNMJODeUdHXMt8DWIUcs2Aklzb2HIl9q4eBbTjkUIaSrB1X9X2qxUbUcsWAnlDS3FlS22O/xfCHklKvERboaZwObCbSxCjliIZ8Q0txG8J5aX19LzJNTjh2TdDWXKRWv8ASn0LlyxELYZbNOmtuZn5UfnTOOnHKscKSrOcyRP1MtdK4cseCHotLcTlxSflRFOHLKMSY8V7qaw6KKVxySU+hcOWLBD0WluZ3AwL51PAdXTjlWuNLVeeD6fCzhQufKEQv+KCrN7QROuV2+5F5ETjlm8qSrbUyoOH7AwaXQi8gRC+EYdshDK1+pHSE6X1PglL+M0S75Olz+fJ14oReRIxbCYZLmdgYvC5X9kcWiyRQzJunqPD5WO2J/I4kXehE5YiEcC55r8X/gbzvd6aNC50pXc0BVz28TSiQfcsSCO1xpbq+giP+G8vezPLEXOke6msMJ6iBaiRS4LzliwR2ONHcQcId1LdObC3Z27x2QQhCSA2/6uCtuYIFLnaviBiFm3gOUJ4schADLDwAAAep0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1cD48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWZyYWM+PG1yb3c+PG1uPjM8L21uPjxtaT54PC9taT48L21yb3c+PG1uPjQ8L21uPjwvbWZyYWM+PG1vPi08L21vPjxtZnJhYz48bXJvdz48bW4+NDwvbW4+PG1pPnk8L21pPjwvbXJvdz48bW4+MzwvbW4+PC9tZnJhYz48L21yb3c+PC9tZmVuY2VkPjxtbj4yPC9tbj48L21zdXA+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW4+OTwvbW4+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PC9tcm93Pjxtbj4xNjwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1vPiYjeDIwMjY7PC9tbz48bW8+LjwvbW8+PG1vPi48L21vPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1uPjE2PC9tbj48bXN1cD48bWk+eTwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21yb3c+PG1uPjk8L21uPjwvbWZyYWM+PC9tYXRoPipuNQsAAAAASUVORK5CYII=)
Hence option 2 is correct
Find the probability of getting a number less than 5 in a single throw of a die
Hence option 2 is correct
Find the probability of getting a number less than 5 in a single throw of a die
Hence option 2 is correct
In the spinner shown, pointer can land on any of three parts of the same size. So there are three outcomes. What part of the whole is coloured?
![](data:image/png;base64,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)
So here we used the concept of fractions to understand the question. The numerical numbers that make up a fraction of the whole are called fractions. A whole can be a single item or a collection of items. When anything or a number is divided into equal parts, each piece represents a portion of the total. So the fraction in this question is 1/3.
In the spinner shown, pointer can land on any of three parts of the same size. So there are three outcomes. What part of the whole is coloured?
![](data:image/png;base64,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)
So here we used the concept of fractions to understand the question. The numerical numbers that make up a fraction of the whole are called fractions. A whole can be a single item or a collection of items. When anything or a number is divided into equal parts, each piece represents a portion of the total. So the fraction in this question is 1/3.
A box contains 4 packs of chocolates. Anusha picks out a pack at random. What is the probability that she picks
A) Perk?
B) Kitkat?
![](data:image/png;base64,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)
Here we used the concept of probability to find the answer using events. A set of results from an experiment might be referred to as a probability event. In other words, a probability definition of an event is the subset of the relevant sample space. So the probabilities are .
A box contains 4 packs of chocolates. Anusha picks out a pack at random. What is the probability that she picks
A) Perk?
B) Kitkat?
![](data:image/png;base64,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)
Here we used the concept of probability to find the answer using events. A set of results from an experiment might be referred to as a probability event. In other words, a probability definition of an event is the subset of the relevant sample space. So the probabilities are .
In which class interval of wages there are less number of workers?
Hence option 4 is correct
In which class interval of wages there are less number of workers?
Hence option 4 is correct
What is the size of the class?
Hence option 1 is correct
What is the size of the class?
Hence option 1 is correct
What is the lowest value of rainfall?
Hence option 3 is corrrect
What is the lowest value of rainfall?
Hence option 3 is corrrect
In a Parallelogram the diagonals intersect at O. If
then AC is
Hence option 4 is correct
In a Parallelogram the diagonals intersect at O. If
then AC is
Hence option 4 is correct