The number of solutions of the equation 2 x + 3 tan x = , [ – 2 , 2 ] – { 2 , 3 2 } is [2025]

Question

The number of solutions of the equation $2 x + 3 \tan x = π, x \in [- 2 π, 2 π] - {\pm \frac{π}{2}, \pm \frac{3 π}{2}}$ is [2025]

Smart Achievers · Accepted Answer

(2)

We have, 2x + 3 tan x = $π$

$\Rightarrow \tan x = \frac{π}{3} - \frac{2 x}{3}$

$∴$ Number of solutions = 5.

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