Interchange the variables.

Rewrite the equation as <math><mstyle displaystyle="true"><mi>csc</mi><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow><mo>=</mo><mi>x</mi></mstyle></math> .

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

Remove parentheses.

Replace the <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> with <math><mstyle displaystyle="true"><msup><mrow><mi>f</mi></mrow><mrow><mo>-</mo><mn>1</mn></mrow></msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> to show the final answer.

Set up the composite result function.

Evaluate <math><mstyle displaystyle="true"><mi>g</mi><mrow><mo>(</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>)</mo></mrow></mstyle></math> by substituting in the value of <math><mstyle displaystyle="true"><mi>f</mi></mstyle></math> into <math><mstyle displaystyle="true"><mi>g</mi></mstyle></math> .

Since <math><mstyle displaystyle="true"><mi>g</mi><mrow><mo>(</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>=</mo><mi>x</mi></mstyle></math> , <math><mstyle displaystyle="true"><msup><mrow><mi>f</mi></mrow><mrow><mo>-</mo><mn>1</mn></mrow></msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mi>arccsc</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> is the inverse of <math><mstyle displaystyle="true"><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mi>csc</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Do you know how to Find the Inverse Function y=csc(x)? 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 | six hundred sixty-one million seven hundred fourteen thousand three hundred fifty-eight |
---|

- 661714358 has 32 divisors, whose sum is
**1078894080** - The reverse of 661714358 is
**853417166** - Previous prime number is
**439**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 41
- Digital Root 5

Name | five hundred eighty million nine hundred forty-five thousand forty-nine |
---|

- 580945049 has 4 divisors, whose sum is
**580998864** - The reverse of 580945049 is
**940549085** - Previous prime number is
**14947**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 44
- Digital Root 8

Name | one billion seven hundred sixty-four million three hundred fifty-four thousand nine hundred twenty-three |
---|

- 1764354923 has 4 divisors, whose sum is
**1764942360** - The reverse of 1764354923 is
**3294534671** - Previous prime number is
**3019**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 44
- Digital Root 8