Evaluate (9pi)/4

Problem

(9*π)/4

Solution

1. Identify the expression as an angle measured in radians.

2. Convert the improper fraction into a mixed number to find the number of full rotations.

(9*π)/4=2*π+π/4

3. Determine the coterminal angle by subtracting the full rotation of 2*π

(9*π)/4−2*π=π/4

4. Evaluate the angle in degrees if necessary by substituting 180 for π

(9*(180))/4=405

Final Answer

(9*π)/4=2*π+π/4

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