# 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.
Simplify .
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 .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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.
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 .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Find the period.
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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 hundred fifty-three million nine hundred forty-one thousand sixteen

### Interesting facts

• 153941016 has 64 divisors, whose sum is 711461232
• The reverse of 153941016 is 610149351
• Previous prime number is 37

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 30
• Digital Root 3

### Name

Name five hundred seventy-five million two hundred twenty-five thousand three hundred nineteen

### Interesting facts

• 575225319 has 8 divisors, whose sum is 580245120
• The reverse of 575225319 is 913522575
• Previous prime number is 1721

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name two billion seventy-eight million eighty-seven thousand six hundred seventy-seven

### Interesting facts

• 2078087677 has 8 divisors, whose sum is 2089942560
• The reverse of 2078087677 is 7767808702
• Previous prime number is 523

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 52
• Digital Root 7