" 6.If "sin theta=k sin(theta+phi)," show that,"tan(theta+phi)=(sin phi)/(cos phi-k)" ."

If sin theta=5sin(theta+phi) then tan(theta+phi)=

If sintheta=5sin(theta+phi) then tan(theta+phi)=

If tan^2 theta=2 tan^2 phi+1 , show that cos 2 theta+ sin^2 phi=0 .

(a+b)tan(theta-phi)=(a-b)tan(theta+phi) then (sin 2theta)/(sin 2phi)=

If sin(theta+phi)=n sin(theta-phi), then the value of (tan theta)/(tan phi) is equal to

(sin ( theta -phi))/(sin theta sin phi) = cot phi - cot theta.

" 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

(sin (theta + phi))/( sin theta cos phi) = cot theta tan phi +1.