If (\sin \theta=\frac{1}{2}) and (0<\theta<\pi), what are the values of (\theta)?
Answer and explanation
Correct answer: (\frac{\pi}{6},\frac{5\pi}{6})
The reference angle for ( \sin \theta=\frac{1}{2}) is ( \frac{\pi}{6}), and sine is positive in the first and second quadrants. In exams choose only answers in the given interval.
Frequently asked questions
What is the correct answer to this question?
(\frac{\pi}{6},\frac{5\pi}{6})
Why is this the correct answer?
The reference angle for ( \sin \theta=\frac{1}{2}) is ( \frac{\pi}{6}), and sine is positive in the first and second quadrants. In exams choose only answers in the given interval.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.