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Number of solutions of ax + b tan x = c in an interval

This type of question, asked 2 times: 2021 Paper 8, 3 Apr 2025. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 8

    68
    The number of solutions of the equation x+2tan⁡x=π2x+ 2\tan x=\frac{\pi}{2} in the interval [0,2π]\lbrack 0,2\pi\rbrack is :

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  2. Question 2

    3 Apr 2025

    60
    The number of solutions of the equation 2x+3tan⁡x=π,x∈[−2π,2π]−2x+ 3\tan x=\pi,x\in\left\lbrack - 2\pi,2\pi \right\rbrack- {±π2,±3π2}\left\{ \pm\frac{\pi}{2}, \pm\frac{3\pi}{2} \right\} is.

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