Find the X and Y Intercepts y=3tan(x)

Find the X and Y Intercepts y=3tan(x)
Find the x-intercepts.
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To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
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Rewrite the equation as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
The exact value of is .
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.
Add and .
Find the period of .
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The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
Consolidate the answers.
, for any integer
, for any integer
x-intercept(s) in point form.
x-intercept(s): , for any integer
x-intercept(s): , for any integer
Find the y-intercepts.
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To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
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Remove parentheses.
Simplify .
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The exact value of is .
Multiply by .
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
List the intersections.
x-intercept(s): , for any integer
y-intercept(s):
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Name

Name three hundred forty-eight million nine hundred seventy-two thousand five hundred ninety-nine

Interesting facts

  • 348972599 has 4 divisors, whose sum is 350008464
  • The reverse of 348972599 is 995279843
  • Previous prime number is 337

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 56
  • Digital Root 2

Name

Name one billion nine hundred fourteen million five hundred ninety-nine thousand six hundred forty-one

Interesting facts

  • 1914599641 has 4 divisors, whose sum is 1914694912
  • The reverse of 1914599641 is 1469954191
  • Previous prime number is 28807

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4

Name

Name one billion nine hundred thirty-one million nine hundred three thousand six hundred ninety-eight

Interesting facts

  • 1931903698 has 32 divisors, whose sum is 3298579200
  • The reverse of 1931903698 is 8963091391
  • Previous prime number is 19

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4