`alpha + beta = 5` , `alpha beta= 6` .find `alpha - beta`

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.

Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (alpha + beta), given cos alpha = ( -12)/(13), cot beta = (24)/( 7), alpha in Quadrant II, beta in Quadrant III.

If sin (alpha + beta) = 4/5 , sin (alpha -beta) = (5)/(13), alpha + beta , alpha - beta being acute angles prove that tan 2 alpha = (63)/(16).

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.

Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alpha - beta), given cos alpha = (-12)/(13) , cot beta = (24)/(7), alpha in Quadrant II, beta in Quadrant I.

If alpha and beta are acute such that alpha+beta and alpha-beta satisfy the equation tan^(2)theta-4tan theta+1=0 , then (alpha, beta ) =

Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + cos 2(alpha + beta) = cos 2alpha

If alpha and beta are acute angles and sin alpha = (3)/(5) , sin beta = (8)/( 17), find the values of sin ( alpha + beta), cos (alpha pm beta), and tan ( alpha pm beta).

Factorise alpha^2 +beta^2 + alpha beta

Prove that (sin alpha cos beta + cos alpha sin beta) ^(2) + (cos alpha coa beta - sin alpha sin beta) ^(2) =1.