Ratios from a given ratio and quadrant

Ratios from a given ratio and quadrant

Secondary 4
TGM Original Questions

Given that \(\sin\theta=-\dfrac{7}{25}\) and \(180^\circ<\theta<270^\circ\), find the exact values of \(\cos\theta\), \(\tan\theta\) and \(\operatorname{cosec}\theta\).

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Answer:\(\cos\theta=-\dfrac{24}{25}\), \(\tan\theta=\dfrac{7}{24}\), \(\operatorname{cosec}\theta=-\dfrac{25}{7}\).

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