Find Amplitude, Period, and Phase Shift y=cos(x-2pi)-1

$y = \cos (x - 2 π) - 1$

Use the form $a \cos (b x - c) + d$ to find the variables used to find the amplitude, period, phase shift, and vertical shift.

$a = 1$

$b = 1$

$c = 2 π$

$d = - 1$

Find the amplitude $| a |$ .

Amplitude: $1$

Find the period using the formula $\frac{2 π}{| b |}$ .

Tap for more steps...

Find the period of $\cos (x - 2 π)$ .

Tap for more steps...

The period of the function can be calculated using $\frac{2 π}{| b |}$ .

$\frac{2 π}{| b |}$

Replace $b$ with $1$ in the formula for period.

$\frac{2 π}{| 1 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$\frac{2 π}{1}$

Divide $2 π$ by $1$ .

$2 π$

Find the period of $- 1$ .

Tap for more steps...

The period of the function can be calculated using $\frac{2 π}{| b |}$ .

$\frac{2 π}{| b |}$

Replace $b$ with $1$ in the formula for period.

$\frac{2 π}{| 1 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$\frac{2 π}{1}$

Divide $2 π$ by $1$ .

$2 π$

The period of addition/subtraction of trig functions is the maximum of the individual periods.

$2 π$

Find the phase shift using the formula $\frac{c}{b}$ .

Tap for more steps...

The phase shift of the function can be calculated from $\frac{c}{b}$ .

Phase Shift: $\frac{c}{b}$

Replace the values of $c$ and $b$ in the equation for phase shift.

Phase Shift: $\frac{2 π}{1}$

Divide $2 π$ by $1$ .

Phase Shift: $2 π$

List the properties of the trigonometric function.

Amplitude: $1$

Period: $2 π$

Phase Shift: $2 π$ ( $2 π$ to the right)

Vertical Shift: $- 1$

Do you know how to Find Amplitude, Period, and Phase Shift y=cos(x-2pi)-1? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	one hundred forty-one million three hundred eighty-four thousand seven hundred twenty

Interesting facts

141384720 has 256 divisors, whose sum is 1159868160
The reverse of 141384720 is 027483141
Previous prime number is 79

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 30
Digital Root 3

Name

Name	five hundred fifty-three million five hundred sixty thousand two hundred sixty-one

Interesting facts

553560261 has 4 divisors, whose sum is 738080352
The reverse of 553560261 is 162065355
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 33
Digital Root 6

Name

Name	one billion eight hundred thirty-five million one hundred seven thousand five hundred thirty-three

Interesting facts

1835107533 has 32 divisors, whose sum is 2458118400
The reverse of 1835107533 is 3357015381
Previous prime number is 577

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 36
Digital Root 9

Solve for a a^2+21^2=29^2

Simplify 1/(cos(x))-cos(x)

Find the Sine (0.09,0.12)

Graph y>-9

Solve the Triangle C=30 , A=89 , b=7