If `sin theta+sin^2theta=1` , show that `cos^4theta+cos^2theta=1`.

If sin theta+ sin^2 theta = 1 , prove that cos^2 theta+ cos^4 theta = 1 .

If sin theta+sin^(2)theta=1 Prove that cos^(2)theta+cos^(4)theta=1

If sin theta+sin^(2)theta=1, prove that cos^(2)theta+cos^(4)theta=1

If sin theta- cos theta=0 then show that sin^4 theta+cos^4 theta=1/2

If sin theta + sin^(2) theta =1 then cos^(4) theta + cos^(8) theta + 2 cos^(6) theta =

If sin theta+ sin^(2)theta=1 , then prove that cos^(2) theta+cos^(4) theta=1.

If sin theta + sin^(2) theta = 1 , then prove that cos^(2) theta + cos^(4)theta = 1.

If cos^2 theta-sin^2 theta= 1/2 then cos^4 theta-sin^4 theta=?

If |(1+sin^2 theta,sin^2 theta,sin^2 theta),(cos^2 theta,1+cos^2 theta,cos^2 theta),(4sin 4 theta,4sin4theta,1+4sin4theta)|=0, then ... sin 4theta equal to ....

If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = sin theta (1 + cos2 theta) + sin 2 theta(1 + cos theta), "show that" u^(2) + v^(2) = 4(1 + cos theta) (1 + cos 2theta).