AM-2567

Addition formulae

A Math · Secondary 4 · Medium · Addition formulae

Without using a calculator, simplify

\tan(\theta + 45^\circ)

in terms of

\tan\theta

.

$\dfrac{\tan\theta+1}{1-\tan\theta}$
$\dfrac{\tan\theta-1}{1+\tan\theta}$
$\dfrac{1-\tan\theta}{1+\tan\theta}$
$\dfrac{1+\tan\theta}{1+\tan\theta}$

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