If ( \theta=\frac{5\pi}{18} ), what is its complementary angle in radians?

Question

Answer and explanation

Correct answer: ( \frac{2\pi}{9} )

Complementary angles sum to ( \frac{\pi}{2} ), so ( \frac{\pi}{2}-\frac{5\pi}{18}=\frac{2\pi}{9} ). Use a common denominator before subtracting.

What is the correct answer to this question?

( \frac{2\pi}{9} )

Why is this the correct answer?

Complementary angles sum to ( \frac{\pi}{2} ), so ( \frac{\pi}{2}-\frac{5\pi}{18}=\frac{2\pi}{9} ). Use a common denominator before subtracting.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.