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Question

Find the exact values of cos150° and sin150°.


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Solution

Step 1: Compute the exact value of cos150°:

Since, 150°=180°-30°

So we can write cos150° as

cos150°=cos180°-30°=-cos30° cos(180-θ)=-cosθ

=-32cos30°=32

Step 2: Compute the exact value of sin150°:

We can find the value as

sin150°=sin180°-30°

=sin30°sin180-θ=sinθ

=12sin30°=12

Hence, the exact value of cos150°=-32 and sin150°=12.


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