Mathematics: Solve trig equation: 9 + cot^(2) x = 12

C) Step-by-step explanation:6^2 + 3^2 = 45, and the is roughly 6.7 also equals roughly 6.7, so is the answer...

Solve trig equation: 9 + cot^(2) x = 12 - id92123281608, gorbyalexis

Ответ:

casynlee6488

07.01.2022

$9+\cot^2x=12$
$\cot^2x=3$
$\cot x=\pm\sqrt3$
$\tan x=\pm\dfrac1{\sqrt3}$

This happens on the unit circle whenever $x=\dfrac\pi6,\dfrac{5\pi}6,\dfrac{7\pi}6,\dfrac{11\pi}6$ , and more generally for $x=\dfrac\pi6+n\pi$ and $x=-\dfrac\pi6+n\pi$ for integers