In the space below, algebraically solve the equation cos 3 x=0.5 in the domain -180^{circ} leq x leq 360^{circ}

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Step:1 ：Find the angles whose cosine is 0.5: (cos^{-1}(0.5) = 60^circ, 300^circ)Step:2 ：Divide the angles by 3 to get the values of x: (x_1 = frac{60^circ}{3} = 20^circ), (x_2 = frac{300^circ}{3} = 100^circ)Step:3 ：(boxed{x = 20^circ, 100^circ})

Answer

Step: 1 ：Find the angles whose cosine is 0.5: (cos^{-1}(0.5) = 60^circ, 300^circ)Step: 2 ：Divide the angles by 3 to get the values of x: (x_1 = frac{60^circ}{3} = 20^circ), (x_2 = frac{300^circ}{3} = 100^circ)Step: 3 ：(boxed{x = 20^circ, 100^circ})

In the space below, algebraically solve the equation $\cos 3 x=0.5$ in the domain $-180^{\circ} \leq x \leq 360^{\circ}$

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