JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The number of roots of the equation

x + 2\,\,\tan \,\,x = \frac{\pi }{2}

in the interval

\left[ {0,\,\,2\;\pi } \right]

, is

View answer and explanation

Correct option: C

\mathrm{3}

Option C (3) is correct because the graphs of

y = \tan x

and

y = \frac{\pi}{4} - \frac{x}{2}

intersect at three points in the given interval.

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\mathrm{X}

\theta \rightarrow \frac{\pi}{2}

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0 < x < \pi

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