Start on the right side.

Apply the difference of angles identity <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>)</mo></mrow><mo>=</mo><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mi>cos</mi><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow><mo>+</mo><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mi>sin</mi><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow></mstyle></math> .

Simplify each term.

The exact value of <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mfrac><mrow><mi>π</mi></mrow><mrow><mn>2</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> by <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>A</mi><mo>+</mo><mi>B</mi><mo>)</mo></mrow></mstyle></math> .

The exact value of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mfrac><mrow><mi>π</mi></mrow><mrow><mn>2</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>A</mi><mo>+</mo><mi>B</mi><mo>)</mo></mrow></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>A</mi><mo>+</mo><mi>B</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(A+B)=cos(pi/2-(A+B))? 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 hundred fifty-five million six hundred fifty-two thousand one hundred seventy-four |
---|

- 155652174 has 8 divisors, whose sum is
**234082728** - The reverse of 155652174 is
**471256551** - Previous prime number is
**387**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 36
- Digital Root 9

Name | one billion two hundred fifty-seven million four hundred ninety-five thousand seven hundred thirty |
---|

- 1257495730 has 8 divisors, whose sum is
**2263492332** - The reverse of 1257495730 is
**0375947521** - Previous prime number is
**5**

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

Name | one billion nine hundred fifty-four million two hundred sixty-one thousand six hundred sixty-six |
---|

- 1954261666 has 16 divisors, whose sum is
**3359825856** - The reverse of 1954261666 is
**6661624591** - Previous prime number is
**347**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 46
- Digital Root 1