AM-925

Proving identities

A Math · Secondary 3 · Hard · Proving identities

Solve the equation

\csc x-\dfrac{\sin x}{1+\cos x}=2\tan x

for

0^\circ\le x\le360^\circ

.

$x\approx35.3^\circ,144.7^\circ,215.3^\circ,324.7^\circ$
$x\approx35.3^\circ,144.7^\circ$ only
$x\approx54.7^\circ,125.3^\circ,234.7^\circ,305.3^\circ$
$x\approx54.7^\circ,305.3^\circ$ only

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