If `alpha+beta=theta and (tan alpha)/(tan beta) = x/y`, prove that `sin (alpha-beta) = (x-y)/(x+y) sin theta`

If sin(theta+alpha)=a,cos^(2)(theta+beta)=b, then sin(alpha-beta)=

If tan beta = 3 tan alpha, prove that tan (alpha + beta) = (2sin 2beta)/(1+cos 2beta)

If tan beta=cos theta tan alpha , then prove that tan^(2)""(theta)/(2)=(sin(alpha-beta))/(sin(alpha+beta)) .

Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alpha - beta), given sin alpha = (8)/(17) , tan beta = (5)/(12), alpha and beta in Quadrant I.

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

if tan alpha = 2tanbeta show that (sin(alpha+beta))/(sin(alpha-beta)) = 3

Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (alpha + beta), given sin alpha = (3)/(5) , cos beta = (5)/(13), alpha and beta in Quadrant I.

If sin alpha + sin beta=a and cos alpha+cosbeta=b then tan((alpha-beta)/2) is equal to

If cos (theta - alpha) = a and sin(theta - beta) = b (0 lt theta - alpha, theta - beta lt pi//2) , then prove that cos^(2) (alpha - beta) + 2ab sin (alpha - beta) = a^(2) + b^(2)

If 3 sin alpha=5 sin beta , then (tan((alpha+beta)/2))/(tan ((alpha-beta)/2))=