Find the Complement (11pi)/12

Problem

(11*π)/12

Solution

1. Identify the definition of a complement. Two angles are complementary if their sum is π/2 radians.

2. Set up the equation to find the complement C by subtracting the given angle from π/2

C=π/2−(11*π)/12

3. Find a common denominator for the fractions, which is 12

π/2=(6*π)/12

4. Subtract the values to determine the complement.

C=(6*π)/12−(11*π)/12

C=−(5*π)/12

Final Answer

Complement of (11*π)/12=−(5*π)/12

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