Answer:
Option (b) is correct.
[tex]x=30^{\circ}[/tex]
Step-by-step explanation:
Given : [tex]\sin x=0.5[/tex]
We have to solve for x,
Consider the given statement,
[tex]\sin x=0.5[/tex]
Taking sine inverse both sides, we get,
[tex]\sin^{-1}(\sin x)=\sin^{-1}(0.5)[/tex]
[tex]\Rightarrow x=\sin^{-1}(0.5)[/tex]
We know [tex]\sin 30^{\circ}=0.5[/tex]
[tex]\Rightarrow x=\sin^{-1}(\sin 30^{\circ})[/tex]
[tex]\Rightarrow x=30^{\circ}[/tex]
Thus, [tex]x=30^{\circ}[/tex]
Hence, Option (b) is correct.
