Question

if sin(A-B)=1/2 and angle A=60° then angle B=​

Answer 1

since A=60degree

Sin(A-B)=1/2

Sin(A-B)=Sin30 degree

A-B=30degree

B=(60-30)degree

B=30degree

Answer 2

The value of ∠ B is equal to 30°.

Step-by-step explanation:

We have,

$\sin (A-B)=\dfrac{1}{2}$ and ∠ A = 60°

To find, the value of ∠ B = ?

∴ $\sin (A-B)=\dfrac{1}{2}$

⇒ $\sin (A-B)=\sin 30$

∵  $\sin 30 =\dfrac{1}{2}$

⇒ A - B = 30°           ...... (1)

Put ∠ A = 60° in equation (1), we get

60° - B = 30°

⇒ B = 60° - 30° = 30°

∴The value of ∠ B = 30°

Thus, the value of ∠ B is equal to 30°.