Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

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

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

$[0, 1]$
$[0, 2]$
$[1, 2]$
$[0, 3]$

hint Hint:

In this question we have to find the range of the given equation. For this we will first simplify the equation using some trigonometric identities then using $negative 1 less or equal than sin space y less or equal than 1$ we will find the range.

The correct answer is: $left square bracket 1 comma 2 right square bracket$

$left parenthesis sin space x minus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 minus x close parentheses equals left parenthesis sin space x minus cos space x right parenthesis squared plus open parentheses cos straight pi over 4. cos x plus sin straight pi over 4. sin x close parentheses squared equals left parenthesis sin space x minus cos space x right parenthesis squared plus open parentheses fraction numerator cos x over denominator 2 end fraction plus fraction numerator sin x over denominator 2 end fraction close parentheses squared equals left parenthesis sin space x minus cos space x right parenthesis squared plus 1 half open parentheses cos x plus sin x close parentheses squared equals sin squared x plus cos squared x minus 2 sin x cos x plus 1 half cos squared x plus 1 half sin squared x plus sin x cos x equals 1 plus 1 half minus sin x space cos x equals 3 over 2 minus sin x space cos x equals 1 half open parentheses 3 minus sin 2 x close parentheses N o w comma space minus 1 less or equal than sin space y less or equal than 1 rightwards double arrow negative 1 less or equal than sin 2 x less or equal than 1 rightwards double arrow negative open parentheses negative 1 close parentheses greater or equal than negative sin 2 x greater or equal than negative 1 rightwards double arrow 1 plus 3 greater or equal than 3 minus sin 2 x greater or equal than negative 1 plus 3 rightwards double arrow 4 greater or equal than 3 minus sin 2 x greater or equal than 2 rightwards double arrow 4 over 2 greater or equal than 1 half 3 minus sin 2 x greater or equal than 2 over 2 rightwards double arrow 2 greater or equal than 1 half 3 minus sin 2 x greater or equal than 1 S o comma left parenthesis sin space x minus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 minus x close parentheses element of open square brackets 1 comma 2 close square brackets$

Related Questions to study

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

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

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

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

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; $cos space invisible function application x plus sin to the power of 4 space x element of$

parallel

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

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

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

parallel

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

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

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

parallel

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

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

parallel

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

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

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.