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# Find the exact values of cos 150° and sin 150°?

To find the exact values of cos 150° and sin 150°, we will use the trigonometric identity cos (180° - Θ) and sin (180° - Θ).

## Answer: The exact value of cos (150^{∘}) is −√3/2 and sin (150^{∘}) is 1/2.

Now, let us understand the way in which we can find the value of cos 150° and sin 150°.

**Explanation:**

For cos 150°,

By using cos (180° – Θ) = – cos Θ

⇒ cos (180° -30°)

⇒ – cos 30^{∘ }

As we know that cos 30° = √3 / 2

Therefore, cos 150° = – cos 30° = - √3 / 2

For sin 150°,

By using sin (180° – Θ) = sin Θ, we get

⇒ sin (180^{∘ }− 30^{∘ })

⇒ sin 30^{∘}

As we know that sin 30^{∘ }= 1 / 2

Therefore, the value of sin 150^{∘ }= 1 / 2

### Thus, the exact value of cos (150^{∘}) is − √3/2 and sin (150^{∘}) is 1/2.

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