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Verified Answer :

pingwin09

The answer is -sin(30°)
You can use calculator if you want to verify or to compare values if equal.

Answer:

\(sin (-150^{\circ})\)=\(-sin30^{\circ}\)

Step-by-step explanation:

Given : \(sin (-150^{\circ})\)

To Find: Which of the following expressions is equal to \(sin (-150^{\circ})\)

Solution:

Property : \(sin(-x)=sinx\)

So, \(sin (-150^{\circ})=-sin 150^{\circ}\)

Now using identity : \(sin x = sin (180-x)\)

So, \(-sin 150^{\circ} = -sin(180^{\circ}-150^{\circ})\)

\(-sin 150^{\circ} = -sin30^{\circ}\)

Thus Option C is correct.

Hence \(sin (-150^{\circ})\)=\(-sin30^{\circ}\)

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