Find the Exact Value sin(60 degrees )

Problem

sin(60)

Solution

1. Identify the angle in the context of a standard 30−60−90 right triangle.

2. Recall the side ratios for a 30−60−90 triangle, where the side opposite 30 is 1 the side opposite 60 is √(,3) and the hypotenuse is 2

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

4. Substitute the known values into the ratio.

sin(θ)=opposite/hypotenuse

sin(60)=√(,3)/2

Final Answer

sin(60)=√(,3)/2

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