Home
Class 11
MATHS
If theta in ((pi)/(2), (3pi)/(2)), then ...

If `theta in ((pi)/(2), (3pi)/(2)),` then the value of `sqrt(4 cos ^(4) theta + sin ^(2) 2 theta) + 4 cot theta cos ^(2) ((pi)/(4) -(theta)/(2))` is ..............
A) `-2 cot theta ` B) `2 cot theta` C) `2 cos theta` D) `2 sin theta `

A

`-2 cot theta `

B

`2 cot theta`

C

`2 cos theta`

D

`2 sin theta `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If thetain(pi/2,(3pi)/2) , then the value of sqrt(4cos^4theta+sin^2 2theta)+4cotthetacos^2(pi/4-theta/2) is

1- 2 sin ^(2) ((pi)/(4) + theta)= ................. A) cos 2 theta B) - cos 2 theta C) sin 2 theta D) - sin 2 theta

4 sin ((pi)/(3) + theta)sin ((pi)/(3)- theta)= .............. A) 1+ cos theta B) 1- 2 cos 2 theta C) 2 cos 2 theta -1 D) 1+ 2 cos 2 theta

tan ((pi)/(4) + (theta)/(2)) + tan ((pi)/(4) -(theta)/(2)) is equal to ............... A) sec theta B) 2 sec theta C) sec "" (theta)/(2) D) -2 sec theta

(sin theta + sin 2 theta)/( 1+ cos theta + cos 2 theta)= .................. A) 1/2 tan theta B) 1/2 cot theta C) tan theta D) cot theta

The value of cos^2(pi/6+theta)-sin^2(pi/6-theta) is ............... A) 1/2 cos 2 theta B) 0 C) -1/2 cos 2 theta D) 1/2

If sin theta + sin^(2) theta=1 " then " cos^(2) theta+ cos^(4) theta is equal to

Prove that sin^4 theta - cos^4 theta = 1 - 2cos^2 theta

(5)/(cot^(2)theta) - (5)/(cos^(2) theta) =

Prove that : cos^(4)theta - cos^(2)theta = sin^(4)theta - sin^(2) theta