Evaluate :
-2 ( 1 + Sin`theta` )Cos`theta`

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

If quad cot theta=(7)/(8) ,evaluate: ( i ) ((1+sin theta)(1-sin theta))/((1+cos theta)(1-cos theta)) (ii)

Evaluate: 5+ ((1+tan^(2) theta) sin theta cos theta)/(tan theta)

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

If costhetagtsinthetagt0 , then evaluate: int{log((1+sin2theta)/(1-sin2theta))^(cos2theta)+log((cos2theta)/(1+sin2theta))}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 cot theta=(15)/(8), then Evaluate ((2+2sin theta)(1-sin theta))/((1+cos theta)(2-2cos theta))

If 4tan theta=3, evaluate (4sin theta-cos theta+1)/(sin theta+cos theta-1)