Ratios with an irrational missing side
Ratios with an irrational missing side
5 marks
TGM Original
Given costheta=-2/3 and sintheta>0, find all six trigonometric ratios of theta exactly.
Solution:
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Answer:\(\sin\theta=\dfrac{\sqrt{5}}{3}\); \(\cos\theta=- \dfrac{2}{3}\); \(\tan\theta=- \dfrac{\sqrt{5}}{2}\); \(\operatorname{cosec}\theta=\dfrac{3 \sqrt{5}}{5}\); \(\sec\theta=- \dfrac{3}{2}\); \(\cot\theta=- \dfrac{2 \sqrt{5}}{5}\).
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