Find the Exact Value tan(-(9pi)/4)

Problem

tan(−(9*π)/4)

Solution

1. Identify the periodicity of the tangent function, which is π

2. Add multiples of π to the angle to find a coterminal angle within the interval [0,π) or [0,2*π)

3. Calculate the coterminal angle by adding 3*π (which is (12*π)/4 to the given angle.

θ=−(9*π)/4+(12*π)/4

θ=(3*π)/4

4. Evaluate the tangent of the coterminal angle using the unit circle or reference angles.

tan((3*π)/4)=−1

Final Answer

tan(−(9*π)/4)=−1

Want more problems? Check here!