Ratios in the third quadrant

Ratios in the third quadrant

5 marks
TGM Original
The terminal ray of an angle theta passes through P(-7,-24). Find all six trigonometric ratios of theta, stating any that are undefined.

Solution:

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Answer:\(\sin\theta=- \dfrac{24}{25}\); \(\cos\theta=- \dfrac{7}{25}\); \(\tan\theta=\dfrac{24}{7}\); \(\operatorname{cosec}\theta=- \dfrac{25}{24}\); \(\sec\theta=- \dfrac{25}{7}\); \(\cot\theta=\dfrac{7}{24}\).

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