If A = sin^2 theta+ cos^4 theta, then f...

If `A = sin^2 theta+ cos^4 theta`, then for all real values of `theta`.............. A) `y in [1,2]` B) `y in [13//16,1]` C) `y in [3//4, 13//16]` D) `y in [3//4, 1]`

A

`y in [1,2]`

B

`y in [13//16,1]`

C

`y in [3//4, 13//16]`

D

`y in [3//4, 1]`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If x = a cos^3 theta, y = b sin^3 theta , then

If y = cos theta + isin theta , then the value of y+frac{1}{y} is

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is................. A) 1 B) -1 C) 0 D) 2

If sin theta + cos theta =1 then sin theta cos theta = ......... A) 0 B) 1 C) 2 D) 1/2

If sin^2 theta=1/4 , then value of theta is

If 4 sin^2 theta + 2(sqrt3 + 1) cos theta = 4 + sqrt3 then the general value of theta is

The sin theta + "cosec" theta =2 , then: sin^(2)theta + "cosec"^(2)theta =............ A) 1 B) 3 C) 2 D) 4

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta . A) 0 B) -5 C) 5 D) 4

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