Expand Using Sum/Difference Formulas sin(15)

Expand Using Sum/Difference Formulas sin(15)
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, can be split into .
Use the difference formula for sine to simplify the expression. The formula states that .
The exact value of is .
The exact value of is .
The exact value of is .
The exact value of is .
Simplify each term.
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Multiply .
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Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Multiply .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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Name

Name one billion six hundred thirty-eight million one hundred nineteen thousand nine hundred two

Interesting facts

  • 1638119902 has 8 divisors, whose sum is 2457421200
  • The reverse of 1638119902 is 2099118361
  • Previous prime number is 68489

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name nine hundred eighteen million nine hundred twenty-two thousand four hundred thirty-four

Interesting facts

  • 918922434 has 8 divisors, whose sum is 1837844880
  • The reverse of 918922434 is 434229819
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6

Name

Name four hundred forty-six million four hundred sixty-six thousand six hundred eighty-two

Interesting facts

  • 446466682 has 8 divisors, whose sum is 709094196
  • The reverse of 446466682 is 286664644
  • Previous prime number is 17

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1