Solve for x 3sec(x)^2-3=0

Solve for x 3sec(x)^2-3=0
Simplify the left side.
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Simplify with factoring out.
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Factor out of .
Factor out of .
Factor out of .
Apply pythagorean identity.
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 root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
is equal to .
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.
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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 seven hundred one million seven hundred forty-two thousand one hundred seventy-six

Interesting facts

  • 1701742176 has 512 divisors, whose sum is 30631374720
  • The reverse of 1701742176 is 6712471071
  • Previous prime number is 3

Basic properties

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

Name

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

Interesting facts

  • 1254498979 has 4 divisors, whose sum is 1294966720
  • The reverse of 1254498979 is 9798944521
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 58
  • Digital Root 4

Name

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

Interesting facts

  • 1787318937 has 16 divisors, whose sum is 3315606528
  • The reverse of 1787318937 is 7398137871
  • Previous prime number is 23

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 54
  • Digital Root 9