[(0:8)quad sin(alpha-beta)=(1)/(2)quad f cos(alpha+beta)=(1)/(2)," wheve "alpha" if are possible "],[" acrate angles,then "]

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

If sin alpha=1/2 and cos beta=1/2 then alpha+beta=

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 where alpha,beta in [0,pi/2] , then tan(2alpha+beta)=

If cos(alpha+beta)=0 then sin^(2)alpha+sin^(2)beta

If sin alpha-sin beta=(1)/(3) and cos beta-cos alpha=(1)/(2) show that (cot(alpha+beta))/(2)=(2)/(3)

If cos(alpha-beta)+1=0, show that cos alpha+cos beta=0 and sin alpha+sin beta=0

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is