\(\color{blue} \sin (-\alpha) = -\sin \alpha\)
\(\color{blue} \cos (-\alpha) = \cos \alpha\)
\(\color{blue} \tan (-\alpha) = -\tan \alpha\)
\(\color{blue} \csc (-\alpha) = -\csc \alpha\)
\(\color{blue} \sec (-\alpha) = \sec \alpha\)
\(\color{blue} \cot (-\alpha) = -\cot \alpha\)
CONTOH SOAL
Soal 1 Tentukan nilai \(\sin (-240^{\circ})\)
\(\sin (-240^{\circ}) = -\sin 240^{\circ}\)
\(\sin (-240^{\circ}) = -[\sin (180^{\circ} + 60^{\circ})]\)
\(\sin (-240^{\circ}) = -[-\sin 60^{\circ}]\)
\(\sin (-240^{\circ}) = -[-\frac{1}{2}\sqrt{3}]\)
\(\sin (-240^{\circ}) = \frac{1}{2}\sqrt{3}\)
Soal 2
Tentukan nilai \(\cos (-315^{\circ})\)
\(\cos (-315^{\circ}) = \cos 315^{\circ}\)
\(\cos (-315^{\circ}) = \cos (360^{\circ}\:-\:45^{\circ})\)
\(\cos (-315^{\circ}) = \cos 45^{\circ}\)
\(\cos (-315^{\circ}) = \frac{1}{2}\sqrt{2}\)
Soal 3
Tentukan nilai \(\tan (-300^{\circ})\)
\(\tan (-300^{\circ}) = -\tan 300^{\circ}\)
\(\tan (-300^{\circ}) = -[\tan (360^{\circ}\:-\:60^{\circ})]\)
\(\tan (-300^{\circ}) = -[-\tan 60^{\circ}]\)
\(\tan (-300^{\circ}) = -[-\sqrt{3}]\)
\(\tan (-300^{\circ}) = \sqrt{3}\)