Find `theta` :

`r Cos( theta ) = a Sin(theta )`

Prove each of the following identities : (i) (sin theta - cos theta)/(sin theta + cos theta) + ( sin theta+ cos theta)/(sin theta - cos theta) = (2)/((2 sin^(2) theta -1)) (ii) (sin theta + cos theta ) /(sin theta - cos theta) + ( sin theta - cos theta) /(sin theta + cos theta) = (2) /((1- 2 cos^(2) theta))

If b tan theta = a find the value of (cos theta + sin theta )/( cos theta - sin theta)

Let A={ theta in R|cos^(2) (sin theta)+sin^(2) (cos theta)=1} and B={ theta in R| cos (sin theta) sin (cos theta)=0} . Then A nn B

If 5 tan theta =4 then find the value of (5 sin theta - cos theta)/(sin theta + 3 cos theta)

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] "then " f (pi/7) is

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 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^(@)