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 five hundred thirty-seven million six hundred seven thousand one hundred ninety-eight

Interesting facts

  • 1537607198 has 4 divisors, whose sum is 2306410800
  • The reverse of 1537607198 is 8917067351
  • Previous prime number is 2

Basic properties

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

Name

Name two billion eighty-nine million five hundred fifty-one thousand six hundred twenty-one

Interesting facts

  • 2089551621 has 8 divisors, whose sum is 2875942144
  • The reverse of 2089551621 is 1261559802
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion four hundred eighty-eight million six hundred seventy-two thousand eight hundred fifty-five

Interesting facts

  • 1488672855 has 32 divisors, whose sum is 2463326208
  • The reverse of 1488672855 is 5582768841
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 54
  • Digital Root 9