Question

Find angle B if Tan(A-B)=root 3 and Sin A= root 3/2 and also find cos(A,B<90°).

Answer 1

Answer:

tan(A-B) = tan 60(tan60 = √3)

A - B = 60

sinA = √3/2

sinA = sin60

A = 60

therefore B =0

cos 60= 1/√2

cos 0 = 1