If ( \theta=\frac{7\pi}{12} ), what is its supplementary angle in radians?
Answer and explanation
Correct answer: ( \frac{5\pi}{12} )
Supplementary angles sum to ( \pi ), so ( \pi-\frac{7\pi}{12}=\frac{5\pi}{12} ). In radians use ( \pi ) instead of (180^\circ).
Frequently asked questions
What is the correct answer to this question?
( \frac{5\pi}{12} )
Why is this the correct answer?
Supplementary angles sum to ( \pi ), so ( \pi-\frac{7\pi}{12}=\frac{5\pi}{12} ). In radians use ( \pi ) instead of (180^\circ).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.