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

Option (b) is correct.

`x=30^(\circ)`

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.