Question

Find the value of x. sin x = 0.5 a. 0.0087° b. 30° c. 45° d. 60°

Answer 1

Hello : 
sin x = 0.5...............(answer : b)  30°  )

Answer 2

Answer:

Option (b) is correct.

$x=30^{\circ}$

Step-by-step explanation:

Given : $\sin x=0.5$

We have to solve for x,

Consider the given statement,

$\sin x=0.5$

Taking sine inverse both sides, we get,

$\sin^{-1}(\sin x)=\sin^{-1}(0.5)$

$\Rightarrow x=\sin^{-1}(0.5)$

We know $\sin 30^{\circ}=0.5$

$\Rightarrow x=\sin^{-1}(\sin 30^{\circ})$

$\Rightarrow x=30^{\circ}$

Thus, $x=30^{\circ}$

Hence, Option (b) is correct.