Expand the Trigonometric Expression (2pi)/3

Problem

(2*π)/3

Solution

1. Identify the expression as an angle in radians that can be decomposed into a sum or difference of special angles.

2. Rewrite the angle as a sum of two angles whose trigonometric values are well-known, such as π and π/3

3. Express the relationship using subtraction to show the expansion of the term.

4. Apply the decomposition:

(2*π)/3=π−π/3

Final Answer

(2*π)/3=π−π/3

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