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 six hundred twenty-four million nine hundred ninety-nine thousand |
---|

- 1624999000 has 128 divisors, whose sum is
**6859831680** - The reverse of 1624999000 is
**0009994261** - Previous prime number is
**521**

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

Name | six hundred sixty-eight million five hundred thirty-three thousand five hundred forty-five |
---|

- 668533545 has 4 divisors, whose sum is
**683389892** - The reverse of 668533545 is
**545335866** - Previous prime number is
**45**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 45
- Digital Root 9

Name | two billion ninety-three million six hundred twenty-three thousand seven hundred sixty-six |
---|

- 2093623766 has 8 divisors, whose sum is
**3382007664** - The reverse of 2093623766 is
**6673263902** - Previous prime number is
**13**

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