Solve for `theta`: `(cos theta+sin theta)/(sin theta-cos theta)=(5)/(3)`

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

Solve sin 2 theta+cos theta=0 .

Prove that : ( sin theta- cos theta +1)/( sin theta +cos theta -1) = (1)/( sec theta - tan theta)

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

Evaluate: intcos 2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta

If 5 tan theta = 4 , show that ( 5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta) = (1)/(7)

The normal to the curve x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta) at any theta is such that

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))