If `tan theta = (xsin phi)/(1-xcos phi)` and `tan phi = (y sin theta)/(1-y cos theta)` show that `x sin phi = y sin theta`

If tan theta=(x sin phi)/(1-x cos phi) and tan phi=(y sin theta)/(1-y cos theta) then the value of (x)/(y) is

If tan theta = (x without phi) / (1-x cos phi) and tan phi = (y without theta) / (1-y cos theta) then (x) / (y) = (A) (without phi) / (without theta) (B) (without theta) / (without phi) (C) (without phi) / (1-cos theta) (D) (without theta) / (1-cos phi)

The value of ((sin theta + sin phi)/(cos theta + cos phi)+ (cos theta - cos phi)/(sin theta - sin phi)) is :

" If "|{:(sin theta cos phi,,sin theta sin phi,,cos theta),(cos theta cos phi,, cos theta sin phi,,-sin theta),(-sin theta sin phi,,sin theta cos phi,,theta):}| then

If tan theta=(5)/(6) and tan phi=(1)/(11) , then theta+phi =______

If tan theta = 1 and sin phi = (1)/( sqrt(2)) , then the value of cos (theta + phi) is

If sin theta+sin phi=(1)/(4) and cos theta+cos phi=(1)/(5) then value of sin(theta+phi) is

If tan theta = 1 and sin phi = (1)/(sqrt(2)), and theta, phi in[0,pi/2] , then the value of cos (theta + phi) is

If sin theta+sin phi=sqrt(3)(cos phi-cos theta), prove that sin3 theta+sin3 phi=0