Question

cotAcotB=2,cos(A+B)=3/5thensinA.sinB=

Answer 1

Step-by-step explanation:

cos(a+b) = 3/5

cos a cos b − sin a sin b = 3/5

(cos a cos b − sin a sin b) / (sin a sin b) = (3/5) / (sin a sin b)

cot a cot b − 1 = (3/5) / (sin a sin b)

2 − 1 = (3/5) / (sin a sin b)

1 = (3/5) / (sin a sin b)

sin a sin b = 3/5