Use the sum formula for cosine to simplify the expression. The formula states that <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>A</mi><mo>+</mo><mi>B</mi><mo>)</mo></mrow><mo>=</mo><mo>-</mo><mrow><mo>(</mo><mi>cos</mi><mrow><mo>(</mo><mi>A</mi><mo>)</mo></mrow><mi>cos</mi><mrow><mo>(</mo><mi>B</mi><mo>)</mo></mrow><mo>+</mo><mi>sin</mi><mrow><mo>(</mo><mi>A</mi><mo>)</mo></mrow><mi>sin</mi><mrow><mo>(</mo><mi>B</mi><mo>)</mo></mrow><mo>)</mo></mrow></mstyle></math> .

Remove parentheses.

The exact value of <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mfrac><mrow><mi>π</mi></mrow><mrow><mn>3</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Combine <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mi>B</mi><mo>)</mo></mrow></mstyle></math> and <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

The exact value of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mfrac><mrow><mi>π</mi></mrow><mrow><mn>3</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mfrac><mrow><msqrt><mn>3</mn></msqrt></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Combine <math><mstyle displaystyle="true"><mfrac><mrow><msqrt><mn>3</mn></msqrt></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>B</mi><mo>)</mo></mrow></mstyle></math> .

Combine the numerators over the common denominator.

Do you know how to Expand Using Sum/Difference Formulas cos(pi/3+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 billion seven hundred twenty-two million nine hundred fifty-three thousand one hundred sixty-two |
---|

- 1722953162 has 64 divisors, whose sum is
**3266853120** - The reverse of 1722953162 is
**2613592271** - Previous prime number is
**107**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 38
- Digital Root 2

Name | seven hundred fifty-five million nine hundred ninety-eight thousand four hundred sixty-seven |
---|

- 755998467 has 32 divisors, whose sum is
**1214400000** - The reverse of 755998467 is
**764899557** - Previous prime number is
**1517**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 60
- Digital Root 6

Name | eight hundred eighty-eight million five hundred eighty-five thousand nine hundred ten |
---|

- 888585910 has 16 divisors, whose sum is
**1668996576** - The reverse of 888585910 is
**019585888** - Previous prime number is
**23**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 52
- Digital Root 7