A rotation with an exact reference angle
A rotation with an exact reference angle
5 marks
TGM Original
Find the exact values of all six trigonometric functions at -1500. State any undefined values and identify the terminal quadrant or axis.
Solution:
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Answer:\(\sin(-1500^\circ)=- \dfrac{\sqrt{3}}{2}\); \(\cos(-1500^\circ)=\dfrac{1}{2}\); \(\tan(-1500^\circ)=- \sqrt{3}\); \(\operatorname{cosec}(-1500^\circ)=- \dfrac{2 \sqrt{3}}{3}\); \(\sec(-1500^\circ)=2\); \(\cot(-1500^\circ)=- \dfrac{\sqrt{3}}{3}\). Terminal quadrant IV.
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