If (\cos \theta=\frac{1}{2}) and (0<\theta<2\pi), what are the values of (\theta)?
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Answer and explanation
Correct answer: (\frac{\pi}{3},\frac{5\pi}{3})
For ( \cos \theta=\frac{1}{2}), the reference angle is ( \frac{\pi}{3}), and cosine is positive in the first and fourth quadrants. In exams write both solutions up to (2\pi).
Frequently asked questions
What is the correct answer to this question?
(\frac{\pi}{3},\frac{5\pi}{3})
Why is this the correct answer?
For ( \cos \theta=\frac{1}{2}), the reference angle is ( \frac{\pi}{3}), and cosine is positive in the first and fourth quadrants. In exams write both solutions up to (2\pi).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
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