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Trigonometric Equations

The number of...

Question

The number of solutions of $sin x = \frac{| x |}{10}$ is

A

4

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B

6

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C

7

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D

8

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Solution

The correct option is B $6$
The number of solutions of $sin x = \frac{| x |}{10}$
= The number of points of intersection of curves $y = sin x$ and $y = \frac{| x |}{10}$

Since, $- 1 \leq sin x \leq 1$
So, solution exist when $\frac{| x |}{10} \leq 1$
$\Rightarrow | x | \leq 10 \Rightarrow - 10 \leq x \leq 10$

Hence, number of points of intersection is $6$ .

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Trigonometric Equations

Standard XII Mathematics

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