# Solve for x in Radians sec(x)=- square root of 2

Solve for x in Radians sec(x)=- square root of 2
Take the inverse secant of both sides of the equation to extract from inside the secant.
Simplify the right side.
The exact value of is .
The secant function is negative in the second and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant.
Simplify .
To write as a fraction with a common denominator, multiply by .
Combine fractions.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
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 six hundred ninety-three million three hundred thirty-six thousand two hundred thirty-eight

### Interesting facts

• 693336238 has 16 divisors, whose sum is 1195697664
• The reverse of 693336238 is 832633396
• Previous prime number is 167

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7

### Name

Name sixty-five million eighty-five thousand forty-six

### Interesting facts

• 65085046 has 16 divisors, whose sum is 105316848
• The reverse of 65085046 is 64058056
• Previous prime number is 701

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 34
• Digital Root 7

### Name

Name two hundred thirteen million seven hundred ninety-four thousand six hundred sixty-eight

### Interesting facts

• 213794668 has 8 divisors, whose sum is 481038012
• The reverse of 213794668 is 866497312
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 46
• Digital Root 1