A negative radian angle
A negative radian angle
5 marks
TGM Original
Find the exact values of all six trigonometric functions at - 13 pi3. State any undefined values and identify the terminal quadrant or axis.
Solution:
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Answer:\(\sin\left(- \dfrac{13 \pi}{3}\right)=- \dfrac{\sqrt{3}}{2}\); \(\cos\left(- \dfrac{13 \pi}{3}\right)=\dfrac{1}{2}\); \(\tan\left(- \dfrac{13 \pi}{3}\right)=- \sqrt{3}\); \(\operatorname{cosec}\left(- \dfrac{13 \pi}{3}\right)=- \dfrac{2 \sqrt{3}}{3}\); \(\sec\left(- \dfrac{13 \pi}{3}\right)=2\); \(\cot\left(- \dfrac{13 \pi}{3}\right)=- \dfrac{\sqrt{3}}{3}\). Terminal quadrant IV.
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