Evaluate for `theta` :

`Cos^2( theta ) = Sin^2( theta ) + 2`

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

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

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

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

cos theta+sin theta=cos2 theta+sin2 theta

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

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

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

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.