A quadrant determined by two signs

A quadrant determined by two signs

5 marks
TGM Original
Given sectheta=-13/5 and tantheta>0, find all six trigonometric ratios of theta exactly.

Solution:

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Answer:\(\sin\theta=- \dfrac{12}{13}\); \(\cos\theta=- \dfrac{5}{13}\); \(\tan\theta=\dfrac{12}{5}\); \(\operatorname{cosec}\theta=- \dfrac{13}{12}\); \(\sec\theta=- \dfrac{13}{5}\); \(\cot\theta=\dfrac{5}{12}\).

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