If (\theta=\frac{17\pi}{12}), what is the reference angle of (\theta)?
Answer and explanation
Correct answer: (\frac{5\pi}{12})
(\frac{17\pi}{12}) is in the third quadrant, so the reference angle is (\frac{17\pi}{12}-\pi=\frac{5\pi}{12}). In exams, use (\theta-\pi) in the third quadrant.
Frequently asked questions
What is the correct answer to this question?
(\frac{5\pi}{12})
Why is this the correct answer?
(\frac{17\pi}{12}) is in the third quadrant, so the reference angle is (\frac{17\pi}{12}-\pi=\frac{5\pi}{12}). In exams, use (\theta-\pi) in the third quadrant.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.