AM-2685

Trigonometric equations

A Math · Secondary 4 · Hard · Trigonometric equations

Solve the equation

2\tan^2x-\tan x-1=0

for

0\le x\le2\pi

. (Give your answers in radians.)

$x=\tfrac{\pi}{4},\tfrac{5\pi}{4},\ 2.678,\ 5.820$
$x=\tfrac{\pi}{4},\tfrac{3\pi}{4},\ 2.678,\ 5.820$
$x=\tfrac{\pi}{4},\tfrac{5\pi}{4}$ only
$x=2.678,\ 5.820$ only

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