Find the Quadrant of the Angle (tan(175)-tan(55))/(1+tan(175)tan(55))

Find the Quadrant of the Angle (tan(175)-tan(55))/(1+tan(175)tan(55))
Convert the radian measure to degrees.
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To convert radians to degrees, multiply by , since a full circle is or radians.
Simplify the numerator.
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Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant.
Evaluate to get .
Multiply by to get .
Evaluate to get .
Multiply by to get .
Subtract from to get .
Simplify the denominator.
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Remove parentheses.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant.
Evaluate to get .
Multiply by to get .
Evaluate to get .
Multiply by to get .
Subtract from to get .
Simplify the expression.
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Divide by to get .
Multiply by to get .
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Multiply by to get .
Move the negative in front of the fraction.
Factor out of .
Multiply by .
Separate fractions.
Replace with an approximation.
Divide by to get .
Divide by to get .
Multiply by to get .
Multiply by to get .
Convert to a decimal.
For angles smaller than , add to the angle until the angle is larger than .
The angle is in the third quadrant.
Quadrant
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Name

Name one billion two hundred seventy-one million eight hundred thirty-six thousand five hundred sixty-nine

Interesting facts

  • 1271836569 has 16 divisors, whose sum is 1705923072
  • The reverse of 1271836569 is 9656381721
  • Previous prime number is 1097

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

Name one billion five hundred sixty-nine million one hundred forty-nine thousand fifteen

Interesting facts

  • 1569149015 has 8 divisors, whose sum is 2151975840
  • The reverse of 1569149015 is 5109419651
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion nine hundred forty-five million four hundred nineteen thousand two hundred ninety-six

Interesting facts

  • 1945419296 has 128 divisors, whose sum is 15282449820
  • The reverse of 1945419296 is 6929145491
  • Previous prime number is 29

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 50
  • Digital Root 5