Solve for θ in Degrees 11sin(theta)+2=4sin(theta)+2

Solve for θ in Degrees 11sin(theta)+2=4sin(theta)+2
Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the right side.
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The exact value of is .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
Find the period of .
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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
Consolidate the answers.
, for any integer
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Name

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

Interesting facts

  • 1929838709 has 8 divisors, whose sum is 1953967680
  • The reverse of 1929838709 is 9078389291
  • Previous prime number is 823

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 56
  • Digital Root 2

Name

Name five hundred fifty million four hundred twenty-six thousand eight hundred thirty

Interesting facts

  • 550426830 has 16 divisors, whose sum is 1321024464
  • The reverse of 550426830 is 038624055
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 33
  • Digital Root 6

Name

Name one hundred eighty-one million five hundred eighty-six thousand nine hundred fifty-five

Interesting facts

  • 181586955 has 32 divisors, whose sum is 224501760
  • The reverse of 181586955 is 559685181
  • Previous prime number is 59

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3