Start on the right side.

Apply pythagorean identity.

Now consider the left side of the equation.

Write <math><mstyle displaystyle="true"><mi>cot</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> in sines and cosines using the quotient identity.

Apply the reciprocal identity to <math><mstyle displaystyle="true"><mi>csc</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Apply the product rule to <math><mstyle displaystyle="true"><mfrac><mrow><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow><mrow><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></mfrac></mstyle></math> .

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Because the two sides have been shown to be equivalent, the equation is an identity.

Do you know how to Verify the Identity (cot(x)^2)/(csc(x))=(1-sin(x)^2)/(sin(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 | one billion two hundred seventy-seven million three hundred thousand one hundred thirty |
---|

- 1277300130 has 32 divisors, whose sum is
**3164410368** - The reverse of 1277300130 is
**0310037721** - Previous prime number is
**31**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 24
- Digital Root 6

Name | nine hundred seventy-four million seven hundred twenty-two thousand three hundred nine |
---|

- 974722309 has 16 divisors, whose sum is
**1073248704** - The reverse of 974722309 is
**903227479** - Previous prime number is
**353**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 43
- Digital Root 7

Name | three hundred five million six hundred fifty-five thousand seven hundred seventy-one |
---|

- 305655771 has 4 divisors, whose sum is
**407541032** - The reverse of 305655771 is
**177556503** - Previous prime number is
**3**

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