Find the Complement pi/12

Problem

π/12

Solution

1. Identify the definition of complementary angles. 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−π/12

3. Find a common denominator for the fractions. The least common multiple of 2 and 12 is 12

π/2=(6*π)/12

4. Subtract the numerators over the common denominator.

C=(6*π)/12−π/12

5. Simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5 in the numerator and 12 is not divisible by 5 so we just perform the subtraction.

C=(5*π)/12

Final Answer

π/2−π/12=(5*π)/12

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