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

If sin theta+ sin phi= sqrt3 (cos phi-cos theta) , prove that : sin 3 theta+ sin 3 phi=0 .

If "sin" theta+"sin" phi=sqrt3(cos phi-cos theta) ,prove that: "sin" 3theta+"sin" 3phi=0 .

If sin theta+ sin phi= sqrt(3)( cos phi- cos theta) , then show that sin 3 theta +sin 3 phi =0

If sin theta - sin phi = a and cos theta + cos phi = b then prove that cos(theta + phi) = (a^(2)+b^(2) -2)/2

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 "|{:(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 "|{:(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 x = cos theta cos phi + sin theta sin phi cos psi , y = cos theta sin phi - sin theta cos phi cos psi and z = sin theta sin psi , then x^(2) + y^(2) + z^(2) equals :