Find the Exact Value sin(30 degrees )

Problem

sin(30^∘)

Solution

1. Identify the angle in the context of the unit circle or a special right triangle.

2. Recall the properties of a 30^∘−60^∘−90^∘ triangle, where the side opposite the 30^∘ angle is half the length of the hypotenuse.

3. Apply the definition of the sine function, which is the ratio of the opposite side to the hypotenuse.

4. Determine the ratio for 30^∘ which is 1/2

Final Answer

sin(30^∘)=1/2

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