Ratios with an irrational radius
Ratios with an irrational radius
5 marks
TGM Original
The terminal ray of an angle theta passes through P(-2,3). Find all six trigonometric ratios of theta, stating any that are undefined.
Solution:
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Answer:\(\sin\theta=\dfrac{3 \sqrt{13}}{13}\); \(\cos\theta=- \dfrac{2 \sqrt{13}}{13}\); \(\tan\theta=- \dfrac{3}{2}\); \(\operatorname{cosec}\theta=\dfrac{\sqrt{13}}{3}\); \(\sec\theta=- \dfrac{\sqrt{13}}{2}\); \(\cot\theta=- \dfrac{2}{3}\).
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