Find x if sinx = $-\frac{1}{2}$.

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find x if sinx = $-\frac{1}{2}$.

Options:

$\frac{13\pi}{6}$

$\frac{5\pi}{6}$

$\frac{\pi}{6}$

$\frac{7\pi}{6}$

Correct Answer:

$\frac{7\pi}{6}$

Explanation:

sinx = - $\frac{1 }{2}$

{ sin30º = $\frac{1 }{2}$ }

We know,

30º = $\frac{ π }{6}$

But sinx = - $\frac{1 }{2}$

so, x = π + $\frac{ π }{6}$

= $\frac{ 7π }{6}$