Take the inverse cotangent of both sides of the equation to extract <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> from inside the cotangent.

Evaluate <math><mstyle displaystyle="true"><mi>arccot</mi><mrow><mo>(</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>4</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> .

The cotangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> to find the solution in the fourth quadrant.

Remove the parentheses around the expression <math><mstyle displaystyle="true"><mn>3.14159265</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>3.14159265</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>0.92729521</mn></mstyle></math> .

The period of the function can be calculated using <math><mstyle displaystyle="true"><mfrac><mrow><mi>π</mi></mrow><mrow><mrow><mo>|</mo><mi>b</mi><mo>|</mo></mrow></mrow></mfrac></mstyle></math> .

Replace <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> with <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> in the formula for period.

Solve the equation.

The absolute value is the distance between a number and zero. The distance between <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

The period of the <math><mstyle displaystyle="true"><mi>cot</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> function is <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> so values will repeat every <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> radians in both directions.

Consolidate the answers.

Do you know how to Solve for ? cot(x)=3/4? 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 eight hundred fifty-seven million four hundred eighty-eight thousand seven hundred seventy-one |
---|

- 1857488771 has 8 divisors, whose sum is
**1886020800** - The reverse of 1857488771 is
**1778847581** - Previous prime number is
**3187**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 56
- Digital Root 2

Name | nine hundred sixty-one million twenty-nine thousand sixty-six |
---|

- 961029066 has 32 divisors, whose sum is
**1954510848** - The reverse of 961029066 is
**660920169** - Previous prime number is
**127**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 39
- Digital Root 3

Name | five hundred seventy-six million three hundred thousand four hundred eighty-four |
---|

- 576300484 has 32 divisors, whose sum is
**1306244520** - The reverse of 576300484 is
**484003675** - Previous prime number is
**229**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 37
- Digital Root 1