Question

Solve: cos(x)(cosx+1)=0

Answer 1

x=pi/2+-2pin, x=3pi/2+-2pi n, x=+-2pi n

Explanation:

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Answer 2

We have the function cos(x)*(cos(x) + 1) = 0

Here we have two sides of an equation:

if cos(x) = 0, then the equation is equal to zero (because this therm is multiplicating the whole equation), so the values pi/2, 3pi/2, etc, are solutions.

And if the parentheses is zero, (cos(x) + 1) = 0 then the equation is also zero

Then when cos(x) = - 1 is another solution

This means that x = pi, 3pi, etc.