AM-2496

Double angle formulae

A Math · Secondary 4 · Hard · Double angle formulae

Solve the equation

2\cos 2x = 1 + \sin x

for

0^\circ \le x \le 360^\circ

.

$x \approx 14.5^\circ,165.5^\circ,270^\circ$
$x \approx 14.5^\circ,345.5^\circ$
$x \approx 23.0^\circ,157.0^\circ,219.8^\circ,320.2^\circ$
$x \approx 90^\circ,270^\circ$

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