Evaluate :

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

Evaluate : ( Cos^2theta - Sin^2theta ) / ( ( Costheta - Sintheta )^2

Evaluate : ( Cos^2theta - Sin^2theta ) / ( ( Costheta - Sintheta )^2

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

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

Evaluate the value of   2 tan^2 theta + cos^2 theta - 2   , where theta is an acute angle and sin theta = cos theta .

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

Prove each of the following identities : (sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = (2) /((sin^(2) theta - cos^(2) theta)) = (2) /((2sin^(2) theta -1))

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

If 4 tan theta =3 , evaluate ((4 sin theta - 2cos theta +3)/(4 sin theta +2 cos theta -5))

Evaluate 2(cos^2theta-sin^2theta)=1