# Solve for θ in Degrees sec(theta)^2-9=0

Solve for θ in Degrees sec(theta)^2-9=0
Add to both sides of the equation.
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Set up each of the solutions to solve for .
Solve for in .
Take the inverse secant of both sides of the equation to extract from inside the secant.
Simplify the right side.
Evaluate .
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.
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 degrees in both directions.
, for any integer
, for any integer
Solve for in .
Take the inverse secant of both sides of the equation to extract from inside the secant.
Simplify the right side.
Evaluate .
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.
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 degrees in both directions.
, for any integer
, for any integer
List all of the solutions.
, for any integer
Consolidate the solutions.
Consolidate and to .
, for any integer
Consolidate and to .
, for any integer
, for any integer
Do you know how to Solve for θ in Degrees sec(theta)^2-9=0? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

### Name

Name one billion five hundred seventy-two million two hundred seventy-two thousand one hundred sixteen

### Interesting facts

• 1572272116 has 32 divisors, whose sum is 3779393760
• The reverse of 1572272116 is 6112722751
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 34
• Digital Root 7

### Name

Name one billion six hundred forty million nine hundred forty-seven thousand three hundred eighty-one

### Interesting facts

• 1640947381 has 4 divisors, whose sum is 1679108992
• The reverse of 1640947381 is 1837490461
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name one billion five hundred ninety million three hundred seventy-one thousand two hundred sixteen

### Interesting facts

• 1590371216 has 256 divisors, whose sum is 9820901376
• The reverse of 1590371216 is 6121730951
• Previous prime number is 127

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8