Start on the left side.

Apply pythagorean identity.

Write <math><mstyle displaystyle="true"><mi>tan</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>sec</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Multiply the numerator by the reciprocal of the denominator.

Apply the distributive property.

Multiply <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

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

Rewrite <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> as <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 (sec(x)^2-tan(x)^2+tan(x))/(sec(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 | seventy-seven million four hundred twenty-nine thousand six hundred sixty-six |
---|

- 77429666 has 4 divisors, whose sum is
**116144502** - The reverse of 77429666 is
**66692477** - Previous prime number is
**2**

- Is Prime? no
- Number parity even
- Number length 8
- Sum of Digits 47
- Digital Root 2

Name | one billion six hundred eighty-four million one hundred seventy-five thousand three hundred sixty-six |
---|

- 1684175366 has 4 divisors, whose sum is
**2526263052** - The reverse of 1684175366 is
**6635714861** - Previous prime number is
**2**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 47
- Digital Root 2

Name | one billion three hundred thirty-nine million fifty-five thousand four hundred ninety-one |
---|

- 1339055491 has 4 divisors, whose sum is
**1339129584** - The reverse of 1339055491 is
**1945509331** - Previous prime number is
**31271**

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