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If-3cosx-2sinx-cosx-sinx-4-find-ctgx-




Question Number 202302 by hardmath last updated on 24/Dec/23
If   ((3cosx + 2sinx)/(cosx − sinx)) = 4   find   ctgx = ?
$$\mathrm{If}\:\:\:\frac{\mathrm{3cosx}\:+\:\mathrm{2sinx}}{\mathrm{cosx}\:−\:\mathrm{sinx}}\:=\:\mathrm{4}\:\:\:\mathrm{find}\:\:\:\mathrm{ctgx}\:=\:? \\ $$
Answered by cortano12 last updated on 24/Dec/23
  ⇔  X
$$\:\:\Leftrightarrow\:\:\underbrace{\mathcal{X}} \\ $$
Answered by MM42 last updated on 24/Dec/23
((3cotx+2)/(cotx−1))=4⇒cotx=6 ✓
$$\frac{\mathrm{3}{cotx}+\mathrm{2}}{{cotx}−\mathrm{1}}=\mathrm{4}\Rightarrow{cotx}=\mathrm{6}\:\checkmark \\ $$

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