Solve for x 1/(cos(x))=8/3

Solve for x 1/(cos(x))=8/3
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Solve the equation for .
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Rewrite the equation as .
Multiply by .
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 .
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Evaluate .
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Simplify .
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Multiply by .
Subtract from .
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
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Name

Name four hundred eleven million five hundred sixty-one thousand seven hundred ninety-eight

Interesting facts

  • 411561798 has 16 divisors, whose sum is 840637440
  • The reverse of 411561798 is 897165114
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion one hundred thirty-one million nine hundred ninety-eight thousand seven hundred ten

Interesting facts

  • 1131998710 has 16 divisors, whose sum is 2038497696
  • The reverse of 1131998710 is 0178991311
  • Previous prime number is 2377

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name one billion three hundred twenty-seven million seven hundred seventy-eight thousand seven hundred ninety-six

Interesting facts

  • 1327778796 has 32 divisors, whose sum is 4013748288
  • The reverse of 1327778796 is 6978777231
  • Previous prime number is 131

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 57
  • Digital Root 3