AM-1016

Basic trigonometric identities

A Math · Secondary 3 · Hard · Basic trigonometric identities

Given that

\tan \theta = \dfrac{3}{4}

and

\cos \theta

is positive, find the exact values of

\sin \theta

and

\cos \theta

.

$\sin \theta = \dfrac{3}{5},\; \cos \theta = \dfrac{4}{5}$
$\sin \theta = \dfrac{4}{5},\; \cos \theta = \dfrac{3}{5}$
$\sin \theta = -\dfrac{3}{5},\; \cos \theta = \dfrac{4}{5}$
$\sin \theta = \dfrac{3}{5},\; \cos \theta = -\dfrac{4}{5}$

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