AM-2490

Basic trigonometric identities

A Math · Secondary 4 · Hard · Basic trigonometric identities

Given that

\dfrac{1+\sin\theta}{\cos\theta}=k

, express

\tan\theta

in terms of

k

.

$\tan\theta=\dfrac{k^2-1}{2k}$
$\tan\theta=\dfrac{2k}{k^2-1}$
$\tan\theta=\dfrac{k^2+1}{2k}$
$\tan\theta=\dfrac{1-k^2}{2k}$

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