Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

Given that \(\tan \theta = -\frac{1}{2}\) and \(\cos \theta < 0\), find the exact values of \(\cos \theta\) and of \(\sin \theta\).

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

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