Graph y=cos(1/6x)

Graph y=cos(1/6x)
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Find the amplitude .
Amplitude:
Find the period of .
Tap for more steps...
The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the phase shift using the formula .
Tap for more steps...
The phase shift of the function can be calculated from .
Phase Shift:
Replace the values of and in the equation for phase shift.
Phase Shift:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
Select a few points to graph.
Tap for more steps...
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Divide by .
The exact value of is .
The final answer is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
The exact value of is .
The final answer is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
The exact value of is .
Multiply by .
The final answer is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
The final answer is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
The final answer is .
List the points in a table.
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
Do you know how to Graph y=cos(1/6x)? 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 three hundred twenty-seven million nine hundred seventy-three thousand four hundred seventeen

Interesting facts

  • 1327973417 has 4 divisors, whose sum is 1328795280
  • The reverse of 1327973417 is 7143797231
  • Previous prime number is 1619

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name seven hundred twenty-eight million one hundred sixty-three thousand seven hundred eighty-one

Interesting facts

  • 728163781 has 4 divisors, whose sum is 740505600
  • The reverse of 728163781 is 187361827
  • Previous prime number is 59

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7

Name

Name one billion seventy-nine million two hundred five thousand four hundred ninety-one

Interesting facts

  • 1079205491 has 32 divisors, whose sum is 1416038400
  • The reverse of 1079205491 is 1945029701
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2