Find `(1+sin theta)/ cos theta`

Evaluate : int (2 sin 2 theta- cos theta)/(6 - cos^(2) theta- 4 sin theta) d theta

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

Prove that (1- cos theta + sin theta)/( 1+cos theta +sin theta) = "tan"(theta)/(2) .

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

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

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

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

Find the Cartesian euqaiton of that curves whose parametric equation : x= cos theta + sin theta + 1, y = sin theta - cos theta + 2

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

Evaluate the following limit : Lim_(theta to pi/4) (sin theta -cos theta)/(theta-1/4pi)