If pi lt alpha lt (3pi)/(2), then find t...

If `pi lt alpha lt (3pi)/(2)`, then find the value of expression `sqrt(4 sin^(4) alpha+sin^(2) 2 alpha) + 4 cos^(2)(pi/4 - alpha/2)`.

A

`2+4 sin alpha`

B

`2-4sin alpha`

C

2

D

none of these

Verified by Experts

The correct Answer is:

C

TRIGONOMETRIC RATIOS AND IDENTITIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
TRIGONOMETRIC RATIOS AND IDENTITIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If pi lt alpha lt (3pi)/2 then find the value of expression sqrt(4 sin^4 alpha+ sin^2 2alpha)+ 4 cos^2(pi/4- alpha/2)

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

If sec alpha=13/5, (0 lt alpha lt pi/2) , then the value of (2-3cotalpha)/(4-9sqrt(sec^(2)alpha-1)) is

If 0 lt alpha lt (pi)/(3) , then prove that alpha (sec alpha) lt (2pi)/(3).

Given that sin ^(2) beta = sin alpha cos alpha, show that cos 2 beta=2 cos ^(2) ((pi)/(4) + alpha )).

If (3pi)/(2) gt alpha gt 2 pi , find the modulus and argument of (1 - cos 2 alpha) + i sin 2 alpha .

If (pi)/(2)lt alpha lt (3pi)/(4) , then sqrt(2tan alpha+(1)/(cos^(2)alpha)) is equal to

If alpha=cos ((2pi)/5)+isin((2pi)/5) , then find the value of alpha+alpha^2+alpha^3+alpha^4