Simplify (-7pi)/4

Problem

−(7*π)/4

Solution

1. Identify the goal, which is to find the simplest equivalent angle, typically the principal value within the range [0,2*π) or (−π,π]

2. Add a full rotation of 2*π to the negative angle to find a coterminal positive angle.

3. Convert 2*π to a fraction with a common denominator of 4

2*π=(8*π)/4

4. Perform the addition to find the coterminal angle.

−(7*π)/4+(8*π)/4=π/4

Final Answer

−(7*π)/4=π/4

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