Simplify (11pi)/12

Problem

(11*π)/12

Solution

1. Identify the expression as an angle in radians that can be decomposed into the sum or difference of common angles (multiples of π/3 π/4 or π/6.

2. Rewrite the numerator 11*π as a sum of two values that are easily divisible by 12

11*π=8*π+3*π

3. Split the fraction into two separate terms.

(11*π)/12=(8*π)/12+(3*π)/12

4. Simplify each fraction by dividing the numerator and denominator by their greatest common divisors.

(8*π)/12=(2*π)/3

(3*π)/12=π/4

5. Combine the simplified terms to express the angle as a sum of standard angles.

(11*π)/12=(2*π)/3+π/4

Final Answer

(11*π)/12=(2*π)/3+π/4

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