Trigonometric Functions (id: 4456dab34)

本题目来源于试卷: Trigonometric Functions，类别为 IB数学

[问答题]
Consider the equatio2p re0yz;i, epy)d1l*ybu 2tn n

$\frac{\sqrt{\sqrt{2}-1}}{\sin x}+\frac{\sqrt{\sqrt{2}+1}}{\cos x}=2\sqrt[4]{8},0<x<\frac{\pi }{2}$ .

1. Given that $\sin \left(\frac{\pi }{8}\right)=\frac{1}{2}\sqrt{2-\sqrt{2}}$ and $\cos \left(\frac{\pi }{8}\right)=\frac{1}{2}\sqrt{2+\sqrt{2}}$ , verify that $x=\frac{\pi }{8}$ is a solution to the equation.
2. Hence find the other solution to the equation.

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