Find the Complement (3pi)/8

Problem

(3*π)/8

Solution

1. Identify the definition of complementary angles. Two angles are complementary if their sum is π/2 radians (or 90.

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

C=π/2−(3*π)/8

3. Find a common denominator to perform the subtraction. The least common multiple of 2 and 8 is 8

π/2=(4*π)/8

4. Subtract the fractions.

C=(4*π)/8−(3*π)/8

C=π/8

Final Answer

π/2−(3*π)/8=π/8

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