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cos(x+pi/3)=0

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cos(x+pi/3)=0

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cos(x+pi/3)=0 equation

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The solution

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Detail solution
Given the equation
$$\cos{\left(x + \frac{\pi}{3} \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0

We get:
$$\cos{\left(x + \frac{\pi}{3} \right)} = 0$$
This equation is transformed to
$$x + \frac{\pi}{3} = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$x + \frac{\pi}{3} = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
Or
$$x + \frac{\pi}{3} = \pi n + \frac{\pi}{2}$$
$$x + \frac{\pi}{3} = \pi n - \frac{\pi}{2}$$
, where n - is a integer
Move
$$\frac{\pi}{3}$$
to right part of the equation
with the opposite sign, in total:
$$x = \pi n + \frac{\pi}{6}$$
$$x = \pi n - \frac{5 \pi}{6}$$
The graph
Rapid solution [src]
This equation has no roots
This equation has no roots
The graph
cos(x+pi/3)=0 equation