Question

If cos (alpha +beta)=0 ,then find the value of sin(alpha+beta)

Answer 1

sin(alpha+beta) = 1 ans..............

Answer 2

Given cos(alpha + beta) = 0

           cos(alpha + beta) = cos 90

                 alpha + beta = 90

                 alpha = 90 - beta  ------------- (1).


Now,

Given sin(alpha + beta)  ----------- (2)

Substitute (1) in (2), we get

sin(90 - beta + beta)

sin(90)

1.


Hope this helps!