Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

Given that \(\cos \theta = -\frac{2}{7}\) and \(\sin \theta < 0\), find the exact values of \(\tan \theta\) and of \(\sin \theta\).

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Answer:\(\tan\theta=\frac{3\sqrt{5}}{2}\), \(\sin\theta=-\frac{3\sqrt{5}}{7}\)

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