Move <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mn>4</mn><mi>u</mi><mo>)</mo></mrow></mstyle></math> to the left side of the equation by subtracting it from both sides.

Apply the cosine double-angle identity.

Multiply <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mn>4</mn><mi>u</mi><mo>)</mo></mrow></mstyle></math> from <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mn>4</mn><mi>u</mi><mo>)</mo></mrow></mstyle></math> .

Since <math><mstyle displaystyle="true"><mn>0</mn><mo>=</mo><mn>0</mn></mstyle></math> , the equation will always be true for any value of <math><mstyle displaystyle="true"><mi>u</mi></mstyle></math> .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

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Name | one billion two hundred ten million four hundred fifty-eight thousand fifty-nine |
---|

- 1210458059 has 4 divisors, whose sum is
**1212185520** - The reverse of 1210458059 is
**9508540121** - Previous prime number is
**701**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 35
- Digital Root 8

Name | one billion eight hundred twenty-four million two hundred forty-three thousand seven hundred sixty-three |
---|

- 1824243763 has 8 divisors, whose sum is
**1883730816** - The reverse of 1824243763 is
**3673424281** - Previous prime number is
**3581**

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

Name | one billion seven hundred sixty-seven million nine hundred eighty-two thousand one hundred ninety-seven |
---|

- 1767982197 has 8 divisors, whose sum is
**2414805120** - The reverse of 1767982197 is
**7912897671** - Previous prime number is
**41**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 57
- Digital Root 3