Solve: `(sin theta+cos theta)/(cos theta-sin theta)=1`

(sin theta)/(1-cos theta)=(1+cos theta)/(sin theta)

Solve (-sin theta)/(1-cos theta)

(sin3 theta+cos3 theta)/(cos theta-sin theta)=1+2xx sin2 theta

Solve sin^(3)theta cos theta-cos^(3)theta sin theta=(1)/(4)

Solve ((1-sin theta)/(cos theta))

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

Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin theta[(sin theta,-cos theta),(cos theta,sin theta)]

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