If (\theta) is coterminal with (\frac{58\pi}{9}) and (0<\theta<2\pi), what is (\theta)?

(\frac{58\pi}{9}-6\pi=\frac{4\pi}{9}). In exams, subtract multiples of (2\pi) to keep the angle in the interval.

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

Question

Answer and explanation

Correct answer: (\frac{4\pi}{9})

(\frac{58\pi}{9}-6\pi=\frac{4\pi}{9}). In exams, subtract multiples of (2\pi) to keep the angle in the interval.

What is the correct answer to this question?

(\frac{4\pi}{9})

Why is this the correct answer?

(\frac{58\pi}{9}-6\pi=\frac{4\pi}{9}). In exams, subtract multiples of (2\pi) to keep the angle in the interval.

Which subject and chapter does this question cover?

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