Find the Complement (2pi)/9

Problem

(2*π)/9

Solution

1. Identify the definition of a complement for an angle. 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−(2*π)/9

3. Find a common denominator for the fractions, which is 18

C=(9*π)/18−(4*π)/18

4. Subtract the numerators to find the resulting angle.

C=(5*π)/18

Final Answer

Complement of (2*π)/9=(5*π)/18

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