Find Amplitude, Period, and Phase Shift f(x)=tan(1/5x)

$f (x) = \tan (\frac{1}{5} x)$

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

$a = 1$

$b = \frac{1}{5}$

$c = 0$

$d = 0$

Since the graph of the function $t a n$ does not have a maximum or minimum value, there can be no value for the amplitude.

Amplitude: None

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

Tap for more steps...

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

Period: $\frac{π}{| b |}$

Replace $b$ with $\frac{1}{5}$ in the formula for period.

Period: $\frac{π}{| \frac{1}{5} |}$

Solve the equation.

Tap for more steps...

$\frac{1}{5}$ is approximately $0.2$ which is positive so remove the absolute value

Period: $\frac{π}{\frac{1}{5}}$

Multiply the numerator by the reciprocal of the denominator.

Period: $π \cdot 5$

Move $5$ to the left of $π$ .

Period: $5 π$

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: $\frac{0}{\frac{1}{5}}$

Multiply the numerator by the reciprocal of the denominator.

Phase Shift: $0 \cdot 5$

Multiply $0$ by $5$ .

Phase Shift: $0$

Find the vertical shift $d$ .

Vertical Shift: $0$

List the properties of the trigonometric function.

Amplitude: None

Period: $5 π$

Phase Shift: $0$ ( $0$ to the right)

Vertical Shift: $0$

Do you know how to Find Amplitude, Period, and Phase Shift f(x)=tan(1/5x)? 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 billion six hundred eighty-two million seven hundred thirty-eight thousand three hundred thirty-two

Interesting facts

1682738332 has 32 divisors, whose sum is 4133234304
The reverse of 1682738332 is 2338372861
Previous prime number is 1523

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 43
Digital Root 7

Name

Name	one billion three hundred thirty-seven million seven hundred forty-nine thousand eighty-five

Interesting facts

1337749085 has 4 divisors, whose sum is 1605298908
The reverse of 1337749085 is 5809477331
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 47
Digital Root 2

Name

Name	one billion one hundred sixty-six million seven hundred four thousand five hundred forty-two

Interesting facts

1166704542 has 32 divisors, whose sum is 3153835008
The reverse of 1166704542 is 2454076611
Previous prime number is 73

Basic properties

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

Find Amplitude, Period, and Phase Shift y=3cos(0.5(x+pi))

Simplify cos(pi/2-x)

Find the Supplement tan(105)

Expand cos(x)

Graph f(t)=3sin(4t)