Find the Exact Value sin(5pi)

Problem

sin(5*π)

Solution

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

2. Subtract multiples of the period from the angle to find a coterminal angle within the interval [0,2*π)

3. Calculate the coterminal angle by subtracting 4*π from 5*π

5*π−4*π=π

4. Evaluate the sine of the coterminal angle.

sin(π)=0

Final Answer

sin(5*π)=0

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