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Question: If \(\Rightarrow\)and \(\tan^{3}x + \tan^{2}x - \tan x - 1 = 0\), then the general value of \(\Right...

If \Rightarrowand tan3x+tan2xtanx1=0\tan^{3}x + \tan^{2}x - \tan x - 1 = 0, then the general value of \Rightarrowis .

A

(tan2x1)(tanx+1)=0(\tan^{2}x - 1)(\tan x + 1) = 0

B

\Rightarrow

C

x=mπ±π4x = m\pi \pm \frac{\pi}{4}

D

n=0n = 0

Answer

\Rightarrow

Explanation

Solution

sinλ+cospλ=1\sin\lambda + \cos p\lambda = 1; sinλ+cospλ=1- \sin\lambda + \cos p\lambda = 1

sinλ=0\sin\lambda = 0 The general value is λ=nπ\lambda = n\pi or cospλ=1\cos p\lambda = 1.