# Solve for θ in Degrees 4csc(theta)+6=-2

Solve for θ in Degrees 4csc(theta)+6=-2
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
Take the inverse cosecant of both sides of the equation to extract from inside the cosecant.
Simplify the right side.
The exact value of is .
The cosecant function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from , to find a reference angle. Next, add this reference angle to to find the solution in the third quadrant.
Simplify the expression to find the second solution.
Subtract from .
The resulting angle of is positive, less than , and coterminal with .
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 .
Add to every negative angle to get positive angles.
Add to to find the positive angle.
Subtract from .
List the new angles.
The period of the function is so values will repeat every degrees in both directions.
, for any integer
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### Name

Name one billion seven hundred forty million nine hundred thirty-eight thousand nine hundred forty-nine

### Interesting facts

• 1740938949 has 16 divisors, whose sum is 3096120832
• The reverse of 1740938949 is 9498390471
• Previous prime number is 2887

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 54
• Digital Root 9

### Name

Name one billion nine hundred forty-five million forty-seven thousand seven hundred ninety-six

### Interesting facts

• 1945047796 has 16 divisors, whose sum is 4397100480
• The reverse of 1945047796 is 6977405491
• Previous prime number is 211

### Basic properties

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

### Name

Name eight hundred sixty-three million two hundred fifty-three thousand nine hundred fifteen

### Interesting facts

• 863253915 has 8 divisors, whose sum is 1381206288
• The reverse of 863253915 is 519352368
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6