Find the Complement pi/6

Problem

π/6

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 unknown complement x by subtracting the given angle from π/2

x=π/2−π/6

3. Find a common denominator for the fractions, which is 6

x=(3*π)/6−π/6

4. Subtract the numerators to find the value of x

x=(2*π)/6

5. Simplify the resulting fraction by dividing both the numerator and denominator by 2

x=π/3

Final Answer

π/2−π/6=π/3

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