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Solve cos2xgt|sinx|,x in(-(pi)/(2),pi)...

Solve `cos2xgt|sinx|,x in(-(pi)/(2),pi)`

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To solve the inequality \( \cos(2x) > |\sin(x)| \) for \( x \) in the interval \( \left(-\frac{\pi}{2}, \pi\right) \), we will follow these steps: ### Step 1: Understand the Functions First, we need to understand the behavior of the functions \( \cos(2x) \) and \( |\sin(x)| \) within the given interval. **Hint:** Consider the properties of the cosine and sine functions, particularly their ranges and periodicity. ### Step 2: Graph the Functions ...
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