Question
Suppose that $\sin \theta=1 / 5$ and $0 < \theta < \pi / 2$(a) Compute $\cos \theta$(b) Compute $\sin 2 \theta .$ Hint: $\sin 2 \theta=\sin (\theta+\theta)$
Step 1
Given that $\sin \theta = 1/5$, we can substitute this into the equation to find $\cos \theta$. So, $\cos^2 \theta = 1 - \sin^2 \theta = 1 - (1/5)^2 = 1 - 1/25 = 24/25$. Show more…
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