(\theta) lies between (2\pi) and (3\pi) and is coterminal with (75^\circ). What is (\theta)?

Question

Answer and explanation

Correct answer: (\frac{29\pi}{12})

(75^\circ+360^\circ=435^\circ=\frac{29\pi}{12}), which lies between (2\pi) and (3\pi). In exams, add revolutions according to the given interval.

What is the correct answer to this question?

(\frac{29\pi}{12})

Why is this the correct answer?

(75^\circ+360^\circ=435^\circ=\frac{29\pi}{12}), which lies between (2\pi) and (3\pi). In exams, add revolutions according to the given interval.

Which subject and chapter does this question cover?

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