Solve for θ in Degrees -4sin(theta)+5=3sin(theta)+5

Solve for θ in Degrees -4sin(theta)+5=3sin(theta)+5
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 two hundred thirty-one million seven hundred fifty-four thousand five hundred fifty-nine

Interesting facts

  • 1231754559 has 16 divisors, whose sum is 1877471232
  • The reverse of 1231754559 is 9554571321
  • Previous prime number is 5693

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion seven hundred sixty million six hundred six thousand nine hundred seventy-five

Interesting facts

  • 1760606975 has 16 divisors, whose sum is 2137411584
  • The reverse of 1760606975 is 5796060671
  • Previous prime number is 3011

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 47
  • Digital Root 2

Name

Name two hundred three million eight hundred eighty-two thousand eight hundred seventy-three

Interesting facts

  • 203882873 has 8 divisors, whose sum is 209139840
  • The reverse of 203882873 is 378288302
  • Previous prime number is 839

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5