To convert radians to degrees, multiply by <math><mstyle displaystyle="true"><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> , since a full circle is <math><mstyle displaystyle="true"><mn>360</mn><mi>°</mi></mstyle></math> or <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> radians.

Simplify the numerator.

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 <math><mstyle displaystyle="true"><mi>tan</mi><mrow><mo>(</mo><mn>5</mn><mo>)</mo></mrow></mstyle></math> to get <math><mstyle displaystyle="true"><mn>0.08748866</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.08748866</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>0.08748866</mn></mstyle></math> .

Evaluate <math><mstyle displaystyle="true"><mi>tan</mi><mrow><mo>(</mo><mn>55</mn><mo>)</mo></mrow></mstyle></math> to get <math><mstyle displaystyle="true"><mn>1.42814800</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1.42814800</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>1.42814800</mn></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>1.42814800</mn></mstyle></math> from <math><mstyle displaystyle="true"><mo>-</mo><mn>0.08748866</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>1.51563667</mn></mstyle></math> .

Simplify the denominator.

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 <math><mstyle displaystyle="true"><mi>tan</mi><mrow><mo>(</mo><mn>5</mn><mo>)</mo></mrow></mstyle></math> to get <math><mstyle displaystyle="true"><mn>0.08748866</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.08748866</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>0.08748866</mn></mstyle></math> .

Evaluate <math><mstyle displaystyle="true"><mi>tan</mi><mrow><mo>(</mo><mn>55</mn><mo>)</mo></mrow></mstyle></math> to get <math><mstyle displaystyle="true"><mn>1.42814800</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>0.08748866</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1.42814800</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>0.12494676</mn></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>0.12494676</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mn>0.87505323</mn></mstyle></math> .

Simplify the expression.

Divide <math><mstyle displaystyle="true"><mo>-</mo><mn>1.51563667</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.87505323</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>1.73205080</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1.73205080</mn></mstyle></math> by <math><mstyle displaystyle="true"><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>1.73205080</mn><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> .

Simplify <math><mstyle displaystyle="true"><mo>-</mo><mn>1.73205080</mn><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> .

Write <math><mstyle displaystyle="true"><mo>-</mo><mn>1.73205080</mn></mstyle></math> as a fraction with denominator <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mfrac><mrow><mo>-</mo><mn>1.73205080</mn></mrow><mrow><mn>1</mn></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> to get <math><mstyle displaystyle="true"><mfrac><mrow><mo>-</mo><mn>1.73205080</mn><mo>⋅</mo><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1.73205080</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>311.76914536</mn></mstyle></math> .

Move the negative in front of the fraction.

Factor <math><mstyle displaystyle="true"><mn>311.76914536</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>311.76914536</mn></mstyle></math> .

Multiply by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Separate fractions.

Replace <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> with an approximation.

Divide <math><mstyle displaystyle="true"><mn>311.76914536</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3.14159265</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mn>99.23920117</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>99.23920117</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mn>99.23920117</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>99.23920117</mn></mstyle></math> to get <math><mstyle displaystyle="true"><mo>-</mo><mn>99.23920117</mn></mstyle></math> .

Convert to a decimal.

For angles smaller than <math><mstyle displaystyle="true"><mn>0</mn><mi>°</mi></mstyle></math> , add <math><mstyle displaystyle="true"><mn>360</mn><mi>°</mi></mstyle></math> to the angle until the angle is larger than <math><mstyle displaystyle="true"><mn>0</mn><mi>°</mi></mstyle></math> .

The angle is in the third quadrant.

Quadrant <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math>

Do you know how to Find the Quadrant of the Angle (tan(175)-tan(55))/(1+tan(175)tan(55))? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one billion five hundred thirty-seven million six hundred seven thousand one hundred ninety-eight |
---|

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

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

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

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

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

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

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

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