In triangle $ABC$, $AB=12$ cm, $AC=5$ cm and $BC=13$ cm. Given that angle \(BAC=90{}^\circ \

Question

In triangle $ABC$, $AB=12$ cm, $AC=5$ cm and $BC=13$ cm. Given that angle $BAC=90{}^\circ $, state the value of $\sin \angle ACB$, $\cos \angle ACB$, $\tan \angle ACB$, $\sin \angle CBA$, $\cos \angle CBA$, $\tan \angle CBA$.

Accepted Answer

(i) $\frac{12}{13}$ (ii) $\frac{5}{13}$ (iii) $\frac{12}{5}$ (iv) $\frac{5}{13}$ (v) $\frac{12}{13}$ (vi) $\frac{5}{12}$

Trigonometry of Triangle \(ABC\) with Angle \(BAC\) = \(90{}^\circ \)

Trigonometry of Triangle \(ABC\) with Angle \(BAC\) = \(90{}^\circ \)

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