Evaluate (7pi)/3

Problem

(7*π)/3

Solution

1. Identify the angle in radians and determine its position relative to a full rotation of 2*π

2. Subtract multiples of 2*π to find the coterminal angle within the standard interval [0,2*π)

3. Calculate the difference:

(7*π)/3−2*π

4. Find a common denominator to perform the subtraction:

(7*π)/3−(6*π)/3

5. Simplify the expression to find the principal value:

π/3

Final Answer

(7*π)/3=2*π+π/3

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