Solve for θ in Radians tan(theta)=2sin(theta)

Solve for θ in Radians tan(theta)=2sin(theta)
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.
Rewrite the expression.
Simplify the right side.
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Separate fractions.
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
Write as a fraction with denominator .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Divide by .
Rewrite the equation as .
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 .
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Simplify the right side.
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The exact value of is .
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Simplify .
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To write as a fraction with a common denominator, multiply by .
Combine fractions.
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Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
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 radians in both directions.
, for any integer
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Name

Name one billion three hundred ninety million nine hundred forty-three thousand one hundred fifty-two

Interesting facts

  • 1390943152 has 64 divisors, whose sum is 7048642680
  • The reverse of 1390943152 is 2513490931
  • Previous prime number is 1019

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion fifty-five million eight hundred five thousand five hundred sixty-one

Interesting facts

  • 1055805561 has 4 divisors, whose sum is 1173117300
  • The reverse of 1055805561 is 1655085501
  • Previous prime number is 9

Basic properties

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

Name

Name six hundred sixty-eight million five hundred seventy thousand eight hundred eighteen

Interesting facts

  • 668570818 has 8 divisors, whose sum is 1010071440
  • The reverse of 668570818 is 818075866
  • Previous prime number is 139

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4