Question
Find all solutions of the equation in the interval $[0,2 \pi)$$$\sin \left(x+\frac{\pi}{2}\right)-\cos ^{2} x=0$$
Step 1
We can rewrite $\sin \left(x+\frac{\pi}{2}\right)$ as $-\cos x$ using the identity $\sin(\theta + \frac{\pi}{2}) = \cos(\theta)$. So, the equation becomes $-\cos x - \cos^2 x = 0$. Show more…
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