AM-2506

Trigonometric equations

A Math · Secondary 4 · Medium · Trigonometric equations

Solve

\tan2x=1

for

0\le x\le2\pi

.

$x=\dfrac\pi8,\dfrac{5\pi}8,\dfrac{9\pi}8,\dfrac{13\pi}8$
$x=\dfrac\pi4,\dfrac{3\pi}4,\dfrac{5\pi}4,\dfrac{7\pi}4$
$x=\dfrac\pi8,\dfrac{3\pi}8,\dfrac{5\pi}8,\dfrac{7\pi}8$
$x=\dfrac\pi8,\dfrac{9\pi}8$ only

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