Question

a is equal to 60 and b is equal to 30 verify that Sin A minus b is equal to sin a into cos Bminus cosa minus sin b ​

Answer 1

A=60

B=30

To show: Sin(A-B)= SinA× CosB - CosA-SinB

Sin(60-30)

Sin(30)= 1/2. -------(1)

Sin60×Cos30-Cos60×Sin30

√3/2 × √3/2 - 1/2×1/2

= 3/4-1/4

= 1/2 ---------(2)

Thus, by (1)&(2)

Sin(A-B)= SinA× CosB - CosA-SinB

*Hence proved*....