How can this be solved?

Question

$cos4x(cosx-1) = 0$

Can you also let me know what the +1 equals to in a situation?

For example, "cosx + 1", along with other functions that have a +1

1127 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-24T22:38:13

To answer your other question:
So:
$x=0+2pin$
$x= pi/8+pi/2n$
$x= (3pi)/8+pi/2n$

$cos4x(cosx-1)=0$

$cosx=1$
$cos4x=0$

$x=0+2pin$
$4x= pi/2+2pin$
$4x= (3pi)/2+2pin$

So:
$x=0+2pin$
$x= pi/8+pi/2n$
$x= (3pi)/8+pi/2n$

Here's a graph:
graph{cos(4x)(cosx-1) [-10, 10, -5, 5]}

To answer your other question:

"For example, "cosx + 1", along with other functions that have a +1":

The $+1$ symbolizes a vertical shift, the function $cosx$ has been shifted up 1 unit

For example:

graph{cosx [-10, 10, -5, 5]}
Graph of Cosx
graph{cosx+1 [-10, 10, -5, 5]}
Graph of Cosx+1