" (c) "cos2 theta=2sin^(2)theta

If cos2 theta=2sin^(2)theta then theta

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

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

If c cos^(3)theta+3c cos theta sin^(2)theta=m and c sin^(3)theta+3c cos^(2)theta sin theta=n , then prove that (m+n)^((2)/(3))+(m-n)^((2)/(3))=2c^((2)/(3)).

The value of (2 (sin2 theta-2 cos^(2)theta-1))/(cos theta-sin theta-cos 3 theta +sin 3 theta)=

Prove that (sin theta+cos theta)/(sin theta- cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = ( 2sec^(2) theta)/(tan^(2) theta -1) .

Using induction,prove that cos theta cos2 theta cos2^(2)theta...cos2^(n-1)theta=(sin2^(n)theta)/(2^(n)sin theta)

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

If cos^(2)theta-sin^(2)theta=tan^(2)alpha, "then" : sqrt2 * cos theta * cos alpha=.... A) sin theta * sin alpha B)1 C) tan^(2)theta D)none of these

If tan theta=(12)/(13) then value of (2sin theta cos theta)/(cos^(2)theta-sin^(2)theta) is