A) 1
B) 2
C) 3
D) infinite
Correct Answer: C
Solution :
We have, \[x+2\tan x=\pi /2\] \[\Rightarrow \] \[\tan x=\pi /4-x/2\] Let\[y=tan\text{ }x\]and \[y=\pi /4-x/2\] The curves\[y=tan\text{ }x\]and \[y=\pi /4-x/2\] in the interval\[[0,2\pi ],\]intersect at three points. The abscissa of these three points are the roots of the equation.You need to login to perform this action.
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