Which is the radian measure of (-135^\circ)?
Answer and explanation
Correct answer: \(-\frac{3\pi}{4}\)
To convert degrees to radians, multiply the angle by \(\frac{\pi}{180}\): \((-135^\circ)\times\frac{\pi}{180}=-\frac{135\pi}{180}=-\frac{3\pi}{4}\). Hence, the correct answer is \(-\frac{3\pi}{4}\). Note that \(-\frac{\pi}{4}\) corresponds to \(-45^\circ\), not \(-135^\circ\). Exam tip: Always retain the negative sign when converting a negative angle to radians.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{3\pi}{4}\)
Why is this the correct answer?
To convert degrees to radians, multiply the angle by \(\frac{\pi}{180}\): \((-135^\circ)\times\frac{\pi}{180}=-\frac{135\pi}{180}=-\frac{3\pi}{4}\). Hence, the correct answer is \(-\frac{3\pi}{4}\). Note that \(-\frac{\pi}{4}\) corresponds to \(-45^\circ\), not \(-135^\circ\). Exam tip: Always retain the negative sign when converting a negative angle to radians.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
