Question

Find the value of
sin A. cos B – cos A. sin B, if tan A= √3 and sin B = 1/2.

Answer 1

Answer:

1/2

Step-by-step explanation:

tanA=√3 = tan60°, therefore, A=60°

sinB=1/2=sin30°, therefore, B=30°

Therefore, sinAcosB – cosAsinB=sin(A–B)

=sin(60–30)°=sin30°=1/2