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What is the exact value of sin 60°? Enter your answer as a fraction in simplest form by filling in the boxes.
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Answer to a math question What is the exact value of sin 60°? Enter your answer as a fraction in simplest form by filling in the boxes.
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To find the exact value of sin 60°, we can use the special right triangle with angles 30°-60°-90°.
In a 30°-60°-90° triangle, the side lengths are in the ratio1 : \sqrt{3} : 2
Therefore, in a triangle with a 60° angle, the side opposite the 60° angle is\sqrt{3}
Since sin is opposite over hypotenuse, we have:
\sin 60° = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{\sqrt{3}}{2}
Therefore, the exact value of sin 60° is\boxed{\frac{\sqrt{3}}{2}}
In a 30°-60°-90° triangle, the side lengths are in the ratio
Therefore, in a triangle with a 60° angle, the side opposite the 60° angle is
Since sin is opposite over hypotenuse, we have:
Therefore, the exact value of sin 60° is
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