`sin theta /3 = 1-cos theta`. Find `theta`.

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

If (cos theta)/(1- sin theta) + (cos theta)/(1 + sin theta) =4 , then find the value of cos theta . Find theta if 0^(@) lt theta lt 90^(@)

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

If 5 cot theta = 3 ," find the value of "((5sin theta - 3 cos theta )/(4 sin theta + 3 cos theta)).

If 3 cot theta = 4 , find the value of (5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta) .

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

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

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