If `sin^4alpha+cos^4beta+2=4sinalphacosbeta,0lt=alpha,betalt=pi/2` then find the value of `(sinalpha+cosbeta)dot`

Explanation

To solve the equation \( \sin^4 \alpha + \cos^4 \beta + 2 = 4 \sin \alpha \cos \beta \) for \( 0 \leq \alpha, \beta \leq \frac{\pi}{2} \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ \sin^4 \alpha + \cos^4 \beta + 2 = 4 \sin \alpha \cos \beta \]

...