Evaluate -(5pi)/4

Problem

−(5*π)/4

Solution

1. Identify the angle in radians. The given expression is −(5*π)/4

2. Determine the direction of rotation. The negative sign indicates a clockwise rotation from the positive x-axis.

3. Find a coterminal angle in the standard range [0,2*π) by adding 2*π

−(5*π)/4+2*π=−(5*π)/4+(8*π)/4

−(5*π)/4+(8*π)/4=(3*π)/4

4. Convert to degrees if necessary to visualize the position.

(3*π)/4⋅180/π=135

5. Locate the terminal side. The angle lies in Quadrant II.

Final Answer

−(5*π)/4=(3*π)/4

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