Solve `8sinx=(sqrt(3))/(cosx)+1/(sinx)`

Explanation

To solve the equation \( 8\sin x = \frac{\sqrt{3}}{\cos x} + \frac{1}{\sin x} \), we can follow these steps:

### Step 1: Rewrite the equation
Start by rewriting the equation to have a common denominator on the right-hand side:
\[ 8\sin x = \frac{\sqrt{3}\sin x + 1}{\sin x \cos x} \]

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