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Byju's Answer

Standard XII

Mathematics

Principal Solution of Trigonometric Equation

Suppose equat...

Question

Suppose equation $f (x) - g (x) = 0$ or $f (x) = g (x) = y$ say, then draw the graphs of $y = f (x)$ and $y = g (x)$ . If graphs of $y = f (x)$ and $y = g (x)$ cuts at one, two, three, no points, then number of solutions are one, two, three,zero respectively. On the basis of above information, answer the following question.
Total number of solutions of
$cos 2 x = | sin x |$ , where $x \in (- \frac{π}{2}, π)$ is:

5

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3

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4

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6

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Solution

The correct option is B $3$
From the graph we can see that

$y = cos 2 x$ and $y = | sin x |$ meet at $3$ points from $[- \frac{π}{2}, π]$

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Similar questions

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$y = f (x)$ is differentiable function and $g (x) = f (x - x^{2})$ If $y = g (x)$ has local maxima at x= $\frac{1}{2}$ but the absolute maximum exists at some other points, then a minimum number of a solution of $g (x) = 0$ is

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The correct option is B 3From the graph we can see that y=cos2x and y=|sinx| meet at 3 points from [−π2,π]

The correct option is B $3$
From the graph we can see that

$y = cos 2 x$ and $y = | sin x |$ meet at $3$ points from $[- \frac{π}{2}, π]$