Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

$5 cos space theta plus 3 cos space open parentheses theta minus pi over 3 close parentheses plus 8 element of$

$[- 7, 1]$
$[1, 8]$
$[1, 15]$
$[2, 15]$

hint Hint:

In this question we have to find the range of the given equation. For this we will first simplify the given equation then we know that $negative square root of a squared plus b squared end root less or equal than a space sin x plus b cos x less or equal than square root of a squared plus b squared end root$ , using this we can find the range.

The correct answer is: $left square bracket 1 comma 15 right square bracket$

$5 cos space theta plus 3 cos space open parentheses theta minus pi over 3 close parentheses plus 8 equals 5 space cos theta plus 3 open parentheses cos theta. cos straight pi over 3 plus sin theta. sin straight pi over 3 close parentheses plus 8 equals 5 cos theta plus 3 open parentheses fraction numerator cos theta over denominator 2 end fraction plus fraction numerator square root of 3 sin theta over denominator 2 end fraction close parentheses plus 8 equals 5 cos theta plus 3 over 2 cos theta plus fraction numerator 3 square root of 3 over denominator 2 end fraction sin theta plus 8 equals 13 over 2 cos theta plus fraction numerator 3 square root of 3 over denominator 2 end fraction sin theta plus 8 minus square root of a squared plus b squared end root less or equal than a space sin x plus b cos x less or equal than square root of a squared plus b squared end root rightwards double arrow negative square root of open parentheses fraction numerator 3 square root of 3 over denominator 2 end fraction close parentheses squared plus open parentheses 13 over 2 close parentheses squared end root less or equal than 13 over 2 cos theta plus fraction numerator 3 square root of 3 over denominator 2 end fraction sin theta less or equal than square root of open parentheses fraction numerator 3 square root of 3 over denominator 2 end fraction close parentheses squared plus open parentheses 13 over 2 close parentheses squared end root rightwards double arrow negative 7 less or equal than 13 over 2 cos theta plus fraction numerator 3 square root of 3 over denominator 2 end fraction sin theta less or equal than 7 rightwards double arrow negative 7 plus 8 less or equal than 13 over 2 cos theta plus fraction numerator 3 square root of 3 over denominator 2 end fraction sin theta plus 8 less or equal than 7 plus 8 rightwards double arrow 1 less or equal than 13 over 2 cos theta plus fraction numerator 3 square root of 3 over denominator 2 end fraction sin theta less or equal than 15 f left parenthesis x right parenthesis element of open square brackets 1 comma 15 close square brackets$

Related Questions to study

$cos space open parentheses x plus pi over 6 close parentheses cos space open parentheses x minus pi over 6 close parentheses element of$

$cos space open parentheses x plus pi over 6 close parentheses cos space open parentheses x minus pi over 6 close parentheses element of$

does not exist Extreme Values; $cos space invisible function application x plus sin to the power of 4 space x element of$

does not exist Extreme Values; $cos space invisible function application x plus sin to the power of 4 space x element of$

$left parenthesis sin space x plus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 plus x close parentheses element of$

$left parenthesis sin space x plus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 plus x close parentheses element of$

parallel

The minimum and maximum values of $cos space x plus 3 square root of 2 sin space open parentheses x plus pi over 4 close parentheses plus 6$ are

The minimum and maximum values of $cos space x plus 3 square root of 2 sin space open parentheses x plus pi over 4 close parentheses plus 6$ are

The minimum and maximum values of $sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses$ are

The minimum and maximum values of $sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses$ are

$sin squared space x plus cos to the power of 4 space x element of$

$sin squared space x plus cos to the power of 4 space x element of$

parallel

A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is $350 m s to the power of negative 1 end exponent$ is

A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is $350 m s to the power of negative 1 end exponent$ is

physics-General

In a sine wave, position of different particles at time $t equals 0$ is shown in figure. The equation for this wave travelling along positive $x minus a x i s$ can be

In a sine wave, position of different particles at time $t equals 0$ is shown in figure. The equation for this wave travelling along positive $x minus a x i s$ can be

physics-General

The function $sin space open parentheses x squared close parentheses$ $plus cos space square root of x$ is

The function $sin space open parentheses x squared close parentheses$ $plus cos space square root of x$ is

parallel

The period of the function $f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x$ where [.] de-notes the greatest integer function, is

The period of the function $f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x$ where [.] de-notes the greatest integer function, is

The period of the function $open vertical bar sin cubed space x over 2 close vertical bar plus open vertical bar cos to the power of 5 space x over 5 close vertical bar$ is

The period of the function $open vertical bar sin cubed space x over 2 close vertical bar plus open vertical bar cos to the power of 5 space x over 5 close vertical bar$ is

In any $straight triangle A B C fraction numerator left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis over denominator 4 b squared c squared end fraction$ =

In any $straight triangle A B C fraction numerator left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis over denominator 4 b squared c squared end fraction$ =

parallel

In $straight triangle A B C sum a cubed Sin space left parenthesis B minus C right parenthesis$ =

In $straight triangle A B C sum a cubed Sin space left parenthesis B minus C right parenthesis$ =

In $straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals$

In $straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals$

If the period of $fraction numerator cos space left parenthesis sin space left parenthesis n x right parenthesis right parenthesis over denominator tan space left parenthesis x divided by n right parenthesis end fraction comma n element of N$ is $6 pi$ then n=

If the period of $fraction numerator cos space left parenthesis sin space left parenthesis n x right parenthesis right parenthesis over denominator tan space left parenthesis x divided by n right parenthesis end fraction comma n element of N$ is $6 pi$ then n=

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.