Question

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

Answer 1

Step-by-step explanation:

sin (alpha-beta)=1/2

sin (alpha-beta)=sin 30

alpha-beta=30 ...... (1)

cos (alpha+beta)=1/2

cos (alpha+beta)=cos60

alpha+beta=60 ....... (2)

by using elimination method in (1) &(2) we get,

alpha =45 degree and

beta=15 degree