If two coterminal angles are (a^\circ) and (b^\circ), (a=5b), and (0^\circ<b<360^\circ), what is the least possible value of (b)?

Since (a-b=4b) must be a multiple of (360^\circ), the least (b=90^\circ). In exams, apply the coterminal condition to the difference.

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

Question

Answer and explanation

Correct answer: (90^\circ)

Since (a-b=4b) must be a multiple of (360^\circ), the least (b=90^\circ). In exams, apply the coterminal condition to the difference.

What is the correct answer to this question?

(90^\circ)

Why is this the correct answer?

Since (a-b=4b) must be a multiple of (360^\circ), the least (b=90^\circ). In exams, apply the coterminal condition to the difference.

Which subject and chapter does this question cover?

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