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 two billion ninety-five million one hundred thirty-two thousand seven hundred ten

Interesting facts

  • 2095132710 has 32 divisors, whose sum is 5485439232
  • The reverse of 2095132710 is 0172315902
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 30
  • Digital Root 3

Name

Name six hundred forty-one million three hundred sixty-one thousand three hundred sixty-two

Interesting facts

  • 641361362 has 8 divisors, whose sum is 962153100
  • The reverse of 641361362 is 263163146
  • Previous prime number is 23189

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5

Name

Name one billion five hundred seventy-nine million six hundred thirty-one thousand six hundred twenty-four

Interesting facts

  • 1579631624 has 64 divisors, whose sum is 5548253760
  • The reverse of 1579631624 is 4261369751
  • Previous prime number is 167

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8