`sin^2 theta +cos^2 theta=`

If "cosec" theta = sqrt5 , find the value of : 2-sin^2theta - cos^2 theta

cos ^(2) 2 theta - sin ^(2) theta = cos theta . cos 3 theta.

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2)) (a) 13-4cos^(4) theta (b) 13-4cos^(6) theta (c) 13-4cos^(6) theta+ 2 sin^(4) theta cos^(2) theta (d) 13-4cos^(4) theta+ 2 sin^(4) theta cos^(2) theta

The value of 2 sin^2 theta + k cos^2 2 theta =1 , then k is equal to :

Evaluate [[sin^2 theta, 1],[cos^2 theta, 0]]+[[cos^2 theta, 0],[-cosec^2 theta, 1]]+[[0,-1],[-1,0]]

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

If 2sin^2theta-cos^2theta=2, find the value of theta.

The number of values of x lying in [-pi, pi] and satisfying 2sin^2theta = cos2theta and sin2theta+ 2cos2theta-costheta-1 = 0 is

Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta+sin^2theta-cos^2theta)=cottheta