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Find the exact value of sin(30°).

a) 1/2
b) √3/2
c) 1
d) 0

User Nrennie
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1 Answer

1 vote

Final answer:

The exact value of sin(30°) is 1/2, found by considering the 30-60-90 special triangle where the side opposite the 30-degree angle is half the hypotenuse.

Step-by-step explanation:

The exact value of sin(30°) can be found using the unit circle or by remembering the special triangles, particularly the 30-60-90 triangle. In this triangle, the side opposite the 30-degree angle is half the length of the hypotenuse. Since the sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse, the sin(30°) is 1/2. Therefore, the correct answer is a) 1/2.

User AnnaR
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