9. Solve the equation $8 \sin x - 6 \cos x = 10$.

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9. Solve the equation $8 \sin x - 6 \cos x = 10$.
Solution: $8 \sin x-6 \cos x=10, \sqrt{8^{2}+6^{2}} \sin \left(x-\operatorname{arctg} \frac{6}{8}\right)=10, x-\operatorname{arctg} \frac{6}{8}=\frac{\pi}{2}+2 \pi k$.

Answer: $x=\operatorname{arctg} \frac{3}{4}+\frac{\pi}{2}+2 \pi k$.