Mister Exam

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You entered:

cos(x+pi/3)=0

cos((x + pi)/3) = 0

False

False

cos(x+pi/3)=0 equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

False

False

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)}

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

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

This equation has no roots

This equation has no roots

The graph