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If the sin 60° = square root of three over two, then which statement is true? (6 points)

cos 30° = square root of three over two, because the cosine and sine are complements
cos 30° = 0, because the cosine and sine are complements
cos 120° = square root of three over two, because the cosine and sine are supplements
cos 120° = 0, because the cosine and sine are supplements

2 Answers

3 votes
The first one, which states that cos(30 deg) are complements
User Kawd
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Answer: The answer is (a) cos 30° = square root of three over two, because the cosine and sine are complements

Step-by-step explanation: Given that -


\sin 60^\circ=(\sqrt 3)/(2).

we are to select the correct statement from the given four options.

We know that sine and cosine functions are supplement of each other. So, we have


\sin 60^\circ=\cos(90^\circ-60^\circ)=\cos 30^\circ=(\sqrt 3)/(2).

Thus, the correct option is (a) cos 30° = square root of three over two, because the cosine and sine are complements.

User AbdullahC
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8.4k points
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