The number of values of `yin[-2pi,2pi]` satisfying the equation `|sin2x|+|cos2x|=|siny|` is 3 (b) 4 (c) 5 (d) 6

Explanation

To solve the equation \( | \sin 2x | + | \cos 2x | = | \sin y | \) for the number of values of \( y \) in the interval \( [-2\pi, 2\pi] \), we can follow these steps:

### Step 1: Analyze the left-hand side
The expression \( | \sin 2x | + | \cos 2x | \) can take values between 0 and \( \sqrt{2} \). This is because both \( | \sin 2x | \) and \( | \cos 2x | \) can reach a maximum of 1, and the maximum value of their sum occurs when \( \sin 2x \) and \( \cos 2x \) are both equal to \( \frac{1}{\sqrt{2}} \).

**Hint:** Consider the maximum values of sine and cosine functions.

### Step 2: Determine the range of \( | \sin y | \)
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