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 thirteen million six hundred fifty-six thousand seven hundred eighty-eight

Interesting facts

  • 13656788 has 8 divisors, whose sum is 30727782
  • The reverse of 13656788 is 88765631
  • Previous prime number is 2

Basic properties

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

Name

Name two hundred forty-six million five hundred thirty-nine thousand six hundred thirty

Interesting facts

  • 246539630 has 32 divisors, whose sum is 469216800
  • The reverse of 246539630 is 036935642
  • Previous prime number is 5569

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2

Name

Name two billion one hundred million eighty-one thousand nine hundred forty-two

Interesting facts

  • 2100081942 has 16 divisors, whose sum is 4000156320
  • The reverse of 2100081942 is 2491800012
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 27
  • Digital Root 9