Evaluate sin(8pi)

Problem

sin(8*π)

Solution

1. Identify the period of the sine function, which is 2*π

2. Determine the number of full rotations by dividing the angle 8*π by the period 2*π

3. Calculate the quotient 8*π/2*π=4 which means 8*π is equivalent to 0 radians on the unit circle.

4. Evaluate the sine of the coterminal angle 0

5. Recall that sin(0)=0

Final Answer

sin(8*π)=0

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