# 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 five hundred seventy million six hundred eighty-seven thousand two hundred twelve

### Interesting facts

• 570687212 has 32 divisors, whose sum is 1364056848
• The reverse of 570687212 is 212786075
• Previous prime number is 307

### Basic properties

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

### Name

Name seven hundred twenty-seven million eight hundred fifty-seven thousand four hundred seventy-four

### Interesting facts

• 727857474 has 16 divisors, whose sum is 1489569312
• The reverse of 727857474 is 474758727
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion seven hundred sixty-one million four hundred eighteen thousand six hundred twenty

### Interesting facts

• 1761418620 has 64 divisors, whose sum is 5155254720
• The reverse of 1761418620 is 0268141671
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 36
• Digital Root 9