Find `theta`; if `sin(theta + 36^@) = cos theta`; where ` theta + 36` is an acute angle.

Evaluate sin^2 theta- cos^2 theta. " If " sqrt3 tan theta = 3 sin theta, theta ne 0 and theta is an acute angle.

Evaluate sin^2 theta - cos^2 theta , if sqrt3 tan theta = 3 sin theta , theta = 0 and theta is an acute angle.

If Cos 3 theta = Sin(theta - 34^(@)) , then the value of theta as an acute angle is :

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

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

If sin 3 theta = cos (theta - 2 ^(@)) where 3 theta and (theta - 2 ^(@)) are acute angles, what is the value of theta ?

If cot theta = 8//15 , then what is the value of sqrt((1-cos theta)/(1+cos theta)) where theta is a positive acute angle ?