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 one hundred thirteen million three hundred forty-eight thousand nine hundred fifty-six

Interesting facts

  • 1113348956 has 8 divisors, whose sum is 2505035160
  • The reverse of 1113348956 is 6598433111
  • Previous prime number is 2

Basic properties

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

Name

Name six hundred six million two hundred thirty-two thousand eight hundred sixteen

Interesting facts

  • 606232816 has 64 divisors, whose sum is 3507490512
  • The reverse of 606232816 is 618232606
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 34
  • Digital Root 7

Name

Name one billion two hundred fifty-two million one hundred ten thousand three hundred eighty-two

Interesting facts

  • 1252110382 has 4 divisors, whose sum is 1878165576
  • The reverse of 1252110382 is 2830112521
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 25
  • Digital Root 7