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 | eight hundred eighty-nine million three hundred forty-nine thousand one hundred |
---|

- 889349100 has 64 divisors, whose sum is
**3841989408** - The reverse of 889349100 is
**001943988** - Previous prime number is
**5**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 42
- Digital Root 6

Name | one billion two hundred thirty-two million eight hundred nineteen thousand three hundred sixty-five |
---|

- 1232819365 has 8 divisors, whose sum is
**1515466008** - The reverse of 1232819365 is
**5639182321** - Previous prime number is
**41**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 40
- Digital Root 4

Name | four hundred eighty million two hundred thirty thousand eight hundred fifty-nine |
---|

- 480230859 has 4 divisors, whose sum is
**640307816** - The reverse of 480230859 is
**958032084** - Previous prime number is
**3**

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