AM-2502

Double angle formulae

A Math · Secondary 4 · Hard · Double angle formulae

Solve the equation

4\cos 2x = 1 + \sin x

for

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

.

$x \approx 33.6^\circ,146.4^\circ,222.7^\circ,317.3^\circ$
$30^\circ,150^\circ$ only
$41.4^\circ,138.6^\circ,228.6^\circ,311.4^\circ$
$30^\circ,150^\circ,210^\circ,330^\circ$

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