The number of solutions of sin x-x-10 is

Here, let f(x) = sin x and g(x) = x10. Also, we know that 1≤sin x ≤ 1. ⇒ 1 ≤x10⇒ . 10 ≤ x ≤ 10 Thus, sketch both curves when x∈[ 10, 10] From figure f(x) = ...

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Standard XII

Mathematics

General Solution of Trigonometric Equation

The number of...

Question

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

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Solution

Here, let f(x) = $sin x and g (x) = \frac{x}{10} .$ Also, we know that $- 1 \leq sin x \leq 1.$
$\Rightarrow - 1 \leq \frac{x}{10} \Rightarrow . - 10 \leq x \leq 10$
Thus, sketch both curves when $x \in [- 10, 10]$

From figure $f (x) = sin x and g (x) = \frac{x}{10}$ intersect at seven points. So, the number of solution is 7.

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The number of solutions of sinx=x10 is

Here, let f(x) = sinx and g(x)=x10. Also, we know that −1≤sinx≤1. ⇒−1≤x10⇒.−10≤x≤10 Thus, sketch both curves when x∈[−10,10] From figure f(x)=sinx and g(x)=x10 intersect at seven points. So, the number of solution is 7.

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