Question 1
The angle \(\theta\) satisfies \(\displaystyle \sin\theta=-\frac8{17}\), with \(\displaystyle \frac{3\pi}{2}\lt \theta\lt 2\pi\).
Find exact values of \(\cos\theta\) and \(\tan\theta\).
Find \(\cos(\pi+\theta)\). Express \(\sin^{-1}(\sin\theta)\) in terms of \(\theta\), explaining your branch choice.
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