If (540^\circ+\theta) is coterminal with (70^\circ) and (0^\circ\le\theta<360^\circ), what is (\theta)?

The remainder of (540^\circ) is (180^\circ), so (180^\circ+\theta\equiv70^\circ) and (\theta=250^\circ). In exams, reduce the fixed part first.

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

Question

Answer and explanation

Correct answer: (250^\circ)

The remainder of (540^\circ) is (180^\circ), so (180^\circ+\theta\equiv70^\circ) and (\theta=250^\circ). In exams, reduce the fixed part first.

What is the correct answer to this question?

(250^\circ)

Why is this the correct answer?

The remainder of (540^\circ) is (180^\circ), so (180^\circ+\theta\equiv70^\circ) and (\theta=250^\circ). In exams, reduce the fixed part first.

Which subject and chapter does this question cover?

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