The number of solutions of sin x - x -10 isA- 4B- 6C- 7D- 8

The correct option is B 6The number of solutions of sin x = |x|10 = The number of points of intersection of curves y= sin x and y=|x|10 Since, 1≤sin x≤1 So, ...

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Standard XII

Mathematics

Trigonometric Equations

The number of...

Question

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

4

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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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The number of solutions of sinx=|x|10 is

The correct option is B 6The number of solutions of sinx=|x|10 = The number of points of intersection of curves y=sinx and y=|x|10 Since, −1≤sinx≤1 So, solution exist when |x|10≤1 ⇒|x|≤10⇒−10≤x≤10 Hence, number of points of intersection is 6.

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