How do you graph $y = cos 2 x$ $y = cos2x$ ?

Question

How do you graph $y = cos 2 x$ $y = cos2x$ ?

1 Answer

Impact of this question

10137 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-01T22:51:10

This is a cossine function that gives you a graph similar to the "normal" cosine with amplitude $1$ $1$ BUT period of $π$ $pi$ only .

Explanation:

This is a cosine function with amplitude equal to $1$ $1$ (it comes from the one "in front" of $cos$ $cos$ that is not written but it is there!) and period obtained from the $2$ $2$ in front of $x$ $x$ in the argument as:
$p e r i o d = \frac{2 π}{2} = π$ $period=(2pi)/color(red)(2)=pi$ .

This value of the period tells you that this is not the normal cosine but it is "squeezed" to fit an entire oscillation between $0$ $0$ and $π$ $pi$ instead of between $0$ $0$ and $2 π$ $2pi$ as the "normal" cosine.

Graphically:
$y = cos (2 x)$ $y=cos(2x)$
graph{cos(2x) [-10, 10, -5, 5]}

A "normal" cosine would look as:
$y = cos (x)$ $y=cos(x)$
graph{cos(x) [-10, 10, -5, 5]}

Science

Math

Humanities

... and beyond

How do you graph $y = cos 2 x$ $y = cos2x$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you graph y=cos2xy = cos2x?

1 Answer

Explanation:

Related questions

Impact of this question

How do you graph $y = cos 2 x$ $y = cos2x$ ?