AM-2701

Principal values

A Math · Secondary 4 · Hard · Principal values

Solve the equation

\cot 2\theta + \sin 2\theta = 2\csc 2\theta

for

-90^\circ \le \theta \le 90^\circ

.

No solution in the given interval
$\theta = 0^\circ$
$\theta = 30^\circ \text{ or } -30^\circ$
$\theta = 45^\circ \text{ or } -45^\circ$

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