If `s intheta=n"sin"(theta+2alpha)` , prove that `tan(theta+alpha)=(1+n)/(1-n)tanalpha` .

If sin theta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/(1-n)tanalpha .

If msintheta=n sin(theta+2alpha), prove that tan(theta+alpha)cotalpha=(m+n)/(m-n)dot

If msintheta=nsin(theta+2alpha) , then prove that tan(theta+alpha)cotalpha=(m+n)/(m-n) .

If sin (theta + alpha ) = cos ( theta + alpha), prove that tan theta =(1- tan alpha )/(1 + tan alpha )

If tan 2theta= sec 2 alpha , prove that sin 2theta=(1-tan^4 alpha)/(1+tan^4 alpha)

If sin theta = n sin ( theta + 2 alpha ) , show that ( n -1) tan (theta + alpha ) + (n + 1) tan alpha = 0 .

If (costheta=cosalphacosbeta , prove that t a n(theta+alpha)/2t a n(theta-alpha)/2=t a n^2beta/2 .

If costheta=cosalphacosbeta , prove that t a n(theta+alpha)/2t a n(theta-alpha)/2=t a n^2beta/2 .

If costheta=cosalphacosbeta , prove that t a n(theta+alpha)/2t a n(theta-alpha)/2=t a n^2beta/2 .

If sin alpha = lamda sin (theta - alpha ) then prove that tan (alpha - (theta)/(2)) = (lamda -1)/( lamda +1) tan ""(theta)/(2).