Find the Complement pi/8

Problem

π/8

Solution

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

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

x=π/2−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 to find the value of x

x=(4*π)/8−π/8

x=(3*π)/8

Final Answer

Complement of π/8=(3*π)/8

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