Evaluate :

`Sin^2( theta )+ Cos^2( theta ) - 1`

Evaluate : Sin^6theta + Cos^6theta = 1 - k Sin^2theta Cos^2theta , find k

Evaluate: int cos2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta

Evaluate int((2 sin theta + sin 2 theta)d theta)/((cos theta-1)sqrt(cos theta + cos^(2) theta + cos^(3) theta)) .

If cos theta>sin theta>0, then evaluate : int{log((1+sin2 theta)/(1-sin2 theta))^(cos^(2)theta)+log((cos2 theta)/(1+sin2 theta))}d theta

If sin theta=12/13 find the value of (sin^2 theta-cos^2 theta)/(2sin theta cos theta)xx1/(tan^2 theta)

(sin ^ (4) theta + cos ^ (4) theta) / (1-2sin ^ (2) theta cos ^ (2) theta) = 1

Evaluate sin^2theta/cos^2theta+1

If tan theta=(12)/(13), evaluate (2sin theta cos theta)/(cos^(2)theta-sin^(2)theta)