Solve for x in Radians sin(2x+1.5)=-0.3

Solve for x in Radians sin(2x+1.5)=-0.3
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the right side.
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Evaluate .
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 .
The sine 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.
Solve for .
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Simplify .
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Multiply by .
Add and .
Add and .
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 .
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 .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Add to every negative angle to get positive angles.
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Add to to find the positive angle.
Replace with decimal approximation.
Subtract from .
List the new angles.
The period of the function is so values will repeat every radians in both directions.
, for any integer
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Name

Name three hundred twelve million four hundred fifty-nine thousand four hundred seventeen

Interesting facts

  • 312459417 has 16 divisors, whose sum is 740644608
  • The reverse of 312459417 is 714954213
  • Previous prime number is 3

Basic properties

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

Name

Name one billion two hundred thirty-four million five hundred twenty thousand nine hundred fifty

Interesting facts

  • 1234520950 has 16 divisors, whose sum is 2073996288
  • The reverse of 1234520950 is 0590254321
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 31
  • Digital Root 4

Name

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

Interesting facts

  • 1462776109 has 8 divisors, whose sum is 1473976832
  • The reverse of 1462776109 is 9016772641
  • Previous prime number is 1093

Basic properties

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