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 two billion seventy-two million one hundred thirty-two thousand four hundred eighty-nine

Interesting facts

  • 2072132489 has 16 divisors, whose sum is 2380615296
  • The reverse of 2072132489 is 9842312702
  • Previous prime number is 1321

Basic properties

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

Name

Name fifty-five million five hundred nine thousand three hundred nine

Interesting facts

  • 55509309 has 8 divisors, whose sum is 61998520
  • The reverse of 55509309 is 90390555
  • Previous prime number is 193

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 8
  • Sum of Digits 36
  • Digital Root 9

Name

Name one billion one hundred seventy million one hundred two thousand eight hundred eighteen

Interesting facts

  • 1170102818 has 8 divisors, whose sum is 1755930540
  • The reverse of 1170102818 is 8182010711
  • Previous prime number is 2281

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2