Start on the left side.

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

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

Combine <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Combine the numerators over the common denominator.

Add <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> and <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Now consider the right 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.

Combine <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> and <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> .

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

Do you know how to Verify the Identity (csc(x))/(sec(x))+(cos(x))/(sin(x))=2cot(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 four hundred forty-four million nine hundred seventy-two thousand six hundred forty-two |
---|

- 1444972642 has 8 divisors, whose sum is
**2171604816** - The reverse of 1444972642 is
**2462794441** - Previous prime number is
**523**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 43
- Digital Root 7

Name | sixty-six million five hundred fifty-four thousand six hundred twenty-one |
---|

- 66554621 has 4 divisors, whose sum is
**76062432** - The reverse of 66554621 is
**12645566** - Previous prime number is
**7**

- Is Prime? no
- Number parity odd
- Number length 8
- Sum of Digits 35
- Digital Root 8

Name | one billion five hundred sixty-three million five hundred four thousand fifty-one |
---|

- 1563504051 has 4 divisors, whose sum is
**1586163600** - The reverse of 1563504051 is
**1504053651** - Previous prime number is
**69**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 30
- Digital Root 3