AM-2475

Trigonometric equations

A Math · Secondary 4 · Hard · Trigonometric equations

Solve the equation for

0\le x\le 2\pi

:

\tan x+2\sec^2 x=6.

(Give your answers in radians.)

$x \approx 0.87,\; 2.10,\; 4.01,\; 5.24$
$x=\dfrac{\pi}{3},\dfrac{4\pi}{3}$
$x=\dfrac{\pi}{6},\dfrac{7\pi}{6}$
$x=\dfrac{3\pi}{4},\dfrac{7\pi}{4}$

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