Solve for x sec(x+81)=2

Solve for x sec(x+81)=2
Take the inverse secant of both sides of the equation to extract from inside the secant.
The exact value of is .
Subtract from both sides of the equation.
The secant 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 the expression to find the second solution.
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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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Multiply by .
Subtract from .
Subtract from both sides of the equation.
Add to until the angle falls between and . In this case, needs to be added times.
Simplify.
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Multiply by .
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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Multiply by .
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
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Name

Name one billion six hundred sixty-nine million one hundred eighteen thousand four hundred forty-four

Interesting facts

  • 1669118444 has 32 divisors, whose sum is 4391836416
  • The reverse of 1669118444 is 4448119661
  • Previous prime number is 43

Basic properties

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

Name

Name one billion forty-eight million seven hundred eighty-one thousand six hundred sixty-seven

Interesting facts

  • 1048781667 has 8 divisors, whose sum is 1398608640
  • The reverse of 1048781667 is 7661878401
  • Previous prime number is 6791

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

Name nine hundred twenty-three million nine hundred two thousand two hundred fifty-six

Interesting facts

  • 923902256 has 64 divisors, whose sum is 4705963272
  • The reverse of 923902256 is 652209329
  • Previous prime number is 163

Basic properties

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