Question

Given that sin is equal to root 3 upon 2 and cos b is equal to zero then find the value of b minus a

Answer 1

The value of ∠B - ∠A =  30°

Step-by-step explanation:

We have,

$\sin A=\dfrac{\sqrt{3}}{2}$ and $\cos B=0$

To find, the value of ∠B - ∠A = ?

∴ $\sin A=\dfrac{\sqrt{3}}{2}$

⇒ $\sin A=\dfrac{\sqrt{3}}{2}=\sin 60$

⇒ ∠A = 60°

Also,

$\cos B=0$

⇒ $\cos B=0=\cos 90$

⇒ ∠B

= 90°

∴ ∠B - ∠A = 90° - 60° = 30°

Thus, the value of ∠B - ∠A =  30°