Question

If sin x°=sin Alfa ,then Alfa is ???? Option (a)180÷π (b)π÷180 (c)π÷270 (d)270÷π

Answer 1

ans b) alpha =π/180.

Answer 2

The required potion is b) $\dfrac{\pi }{180}.$

Step-by-step explanation:

We have,

$\sin x=\sin \alpha$

To find, the vaue of ∠A = ?

$\sin x=\sin \dfrac{\pi }{180} x$

∵ 180° = $\pi^{c}$

∴  1° = $\dfrac{\pi}{180}$

⇒ x° $=\dfrac{\pi}{180}x^{c}$

⇒ $\sin \dfrac{\pi }{180} x=\sin \alpha$

⇒ $\alpha=\dfrac{\pi }{180}$

∴ $\alpha=\dfrac{\pi }{180}$

Hence, the required potion is b) $\dfrac{\pi }{180}.$