What is the period of cos nx?

Question

What is the period of cos nx?

1 Answer

Impact of this question

7607 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-10T11:36:36

the period of the function
$cos n x$ $cosnx$
is
$x = \frac{2 π}{n}$ $x=(2pi)/n$

Explanation:

$cos n x$ $cosnx$
$n = 1$ $n=1$
$cos n x = cos 1 x$ $cosnx=cos1x$
$cos x$ $cosx$
has period of $x = 2 π$ $x=2pi$
$x = \frac{2 π}{1}$ $x=(2pi)/1$
$n = 2$ $n=2$
$cos n x = cos 2 x$ $cosnx=cos2x$
$cos 2 x$ $cos2x$
has period of $2 x = 2 π$ $2x=2pi$
$x = \frac{2 π}{2}$ $x=(2pi)/2$
$n = 3$ $n=3$
$cos n x = cos 3 x$ $cosnx=cos3x$
$cos 3 x$ $cos3x$
has period of $3 x = 2 π$ $3x=2pi$
$x = \frac{2 π}{3}$ $x=(2pi)/3$

Hence, the period of the function
$cos n x$ $cosnx$
is
$x = \frac{2 π}{n}$ $x=(2pi)/n$

Science

Math

Humanities

... and beyond

What is the period of cos nx?

1 Answer

Explanation:

Related questions

Impact of this question