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If (\cos x=-\frac{1}{2}), what are the values of (x) in (0\leq x<2\pi)?

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Answer and explanation

Correct answer: ( \frac{2\pi}{3},\frac{4\pi}{3} )

(\cos x) is negative in the second and third quadrants. Hence (x=\frac{2\pi}{3},\frac{4\pi}{3}).

Tags

trigonometric-functionsequationcosine

Frequently asked questions

What is the correct answer to this question?

( \frac{2\pi}{3},\frac{4\pi}{3} )

Why is this the correct answer?

(\cos x) is negative in the second and third quadrants. Hence (x=\frac{2\pi}{3},\frac{4\pi}{3}).

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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