Solve the following equations: 5 ^ 2 x+7 ^ 2 x-6=0 - Vidyadip

Question

Solve the following equations: $5\cos^{2}\text{x}+7\sin^{2}\text{x}-6=0$

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Answer

$2\sin^{2}\text{x}+5-6=0$ $\sin^{2}\text{x}=\frac{1}{2}$ $\sin\text{x}=\pm\frac{1}{\sqrt{2}}$ $\text{x}=\text{n}\pi\pm\frac{\pi}{4}$

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