Solve for ? tan(x)=1

Solve for ? tan(x)=1
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.
Simplify .
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Move to the left of .
Add and .
Find the period.
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The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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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
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Name

Name one billion nine hundred sixty-four million eight hundred thirty-one thousand two hundred forty-three

Interesting facts

  • 1964831243 has 4 divisors, whose sum is 2028212928
  • The reverse of 1964831243 is 3421384691
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion seven hundred fifty-five million five hundred twenty thousand four hundred forty-nine

Interesting facts

  • 1755520449 has 4 divisors, whose sum is 2340693936
  • The reverse of 1755520449 is 9440255571
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion two hundred thirty million five hundred fifty-eight thousand two hundred forty-two

Interesting facts

  • 1230558242 has 8 divisors, whose sum is 1846907676
  • The reverse of 1230558242 is 2428550321
  • Previous prime number is 1733

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 32
  • Digital Root 5