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  • The number of solutions of the equation in the interval <img alt="\left [ 0,2\pi \right ]" src="/latex-image/?%5Cleft%20%5B%200

The number of solutions of the equation x+2\; \tan x=\frac{\pi }{2} in the interval \left [ 0,2\pi \right ] is :
 
Option: 1 3
Option: 2 4
Option: 3 2
Option: 4 5

Answers (1)

best_answer

\\x+2 \tan x=\frac{\pi}{2} \\ \Rightarrow 2 \tan x=\frac{\pi}{2}-x \\ \Rightarrow \tan x=-\frac{1}{2} x+\frac{\pi}{4}

plot the graph

3 solution

Posted by

himanshu.meshram

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