Start on the left side.

Since both terms are perfect squares, factor using the difference of squares formula, <math><mstyle displaystyle="true"><msup><mrow><mi>a</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>-</mo><msup><mrow><mi>b</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow><mrow><mo>(</mo><mi>a</mi><mo>-</mo><mi>b</mi><mo>)</mo></mrow></mstyle></math> where <math><mstyle displaystyle="true"><mi>a</mi><mo>=</mo><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> and <math><mstyle displaystyle="true"><mi>b</mi><mo>=</mo><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>-</mo><mi>cos</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 (sin(x)^2-cos(x)^2)/(sin(x)-cos(x))=sin(x)+cos(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 nine hundred eighty-seven million nine hundred seventy-seven thousand nine hundred seventy-eight |
---|

- 1987977978 has 128 divisors, whose sum is
**5202954240** - The reverse of 1987977978 is
**8797797891** - Previous prime number is
**43**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 72
- Digital Root 9

Name | five hundred fifty-six million two hundred sixty-nine thousand eighty-seven |
---|

- 556269087 has 16 divisors, whose sum is
**856714752** - The reverse of 556269087 is
**780962655** - Previous prime number is
**11**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 48
- Digital Root 3

Name | two billion forty-eight million five hundred thirty thousand seven hundred eighty-two |
---|

- 2048530782 has 16 divisors, whose sum is
**4097802240** - The reverse of 2048530782 is
**2870358402** - Previous prime number is
**55579**

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