If`cos theta+cos^(2)theta=1`, the value of `sin^(2)theta+sin^(4)theta` is

Let sin theta-cos theta=1 then the value of sin^(3) theta-cos^(3)theta is :

If sin theta = cos theta find the value of : 3 tan ^(2) theta+ 2 sin ^(2) theta -1

The value of sin^(8)theta+cos^(8)theta+sin^(6)theta cos^(2)theta+3sin^(4)theta cos^(2)theta+cos^(6)theta sin^(2)theta+3sin^(2)thetacos^(4)theta is equal to

If sin(pi cos theta) = cos(pi sin theta) , then the value of cos(theta+- pi/4) is

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

If "cosec" theta = sqrt(5) , find the value of (i) 2-sin^(2)theta - cos^(2)theta (ii) 2 + (1)/(sin^(2)theta) - (cos^(2)theta)/(sin^(2)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 roots of the equation |(3x^(2),x^(2) + x cos theta + cos^(2) theta ,x^(2) + x sin theta + sin^(2) theta),(x^(2) + x cos theta + cos^(2) theta,3 cos^(2) theta,1 + (sin 2 theta)/(2)),(x^(2) + x sin theta + sin^(2) theta,1 + (sin 2 theta)/(2),3 sin^(2) theta)| = 0

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

Given : 4 sin theta = 3 cos theta , find the value of : (i) sin theta (ii) cos theta (iii) cot^(2) theta - "cosec"^(2) theta (iv) 4 cos^(2) theta - 3 sin^(2) theta + 2