Solve `(sqrt(5)-1)/(sinx)+(sqrt(10+2sqrt(5)))/(cosx)=8,x in (0,pi/2)`

Explanation

To solve the equation

\[ \frac{\sqrt{5}-1}{\sin x} + \frac{\sqrt{10 + 2\sqrt{5}}}{\cos x} = 8 \]

where \( x \) is in the interval \( (0, \frac{\pi}{2}) \), we can follow these steps:

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