If `3 sin theta+5 cos theta = 5`, show that: `5 sin theta - 3 cos theta = +-3`

If 5 tan theta = 4 , show that ( 5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta) = (1)/(7)

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

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.

If 5 cos theta = 6 , sin theta , evalutate : (12 sin theta - 3cos theta)/(12 sin theta + 3 cos theta)

sin^(3)theta + sin theta - sin theta cos^(2)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

Prove that all lines represented by the equation (2 cos theta + 3 sin theta ) x + (3 cos theta - 5 sin theta ) y = 5 cos theta - 2 sin theta pass through a fixed point for all theta What are the coordinates of this fixed point ?

Prove that : (sin theta + sin 3theta + sin 5theta)/(cos theta + cos 3theta + cos 5theta) = tan 3theta

If theta lies in the first quadrant and 5 tan theta = 4 , " then " (5 sin theta - 3 cos theta )/( sin theta + 2 cos theta )=

Prove that : (sin theta + 2 sin 3theta + sin 5theta)/(sin 3theta + 2 sin 5theta + sin 7theta) = (sin 3theta)/(sin 5theta)