Evaluate (-7pi)/4

Problem

−(7*π)/4

Solution

1. Identify the angle as being in radians and determine its position on the unit circle.

2. Find a coterminal angle by adding 2*π to the given negative angle to locate its position in the standard 0 to 2*π range.

−(7*π)/4+2*π=−(7*π)/4+(8*π)/4

3. Simplify the expression to find the positive coterminal angle.

π/4

4. Determine the coordinates or trigonometric values if required; however, evaluating an angle usually refers to finding its simplest coterminal form or its position. The angle −(7*π)/4 represents a rotation of 315 in the clockwise direction, which is equivalent to a 45 rotation in the counter-clockwise direction.

Final Answer

−(7*π)/4=π/4

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