# Expand Using Sum/Difference Formulas sin((11pi)/12)

Expand Using Sum/Difference Formulas sin((11pi)/12)
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 sum formula for sine to simplify the expression. The formula states that .
Simplify .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
The exact value of is .
Simplify .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
The exact value of is .
The exact value of is .
Simplify each term.
Multiply .
Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Multiply .
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 nine hundred fifty-eight million one hundred twenty thousand six hundred thirty-six

### Interesting facts

• 1958120636 has 8 divisors, whose sum is 4405771440
• The reverse of 1958120636 is 6360218591
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 41
• Digital Root 5

### Name

Name two billion one hundred thirty-nine million five hundred sixty-nine thousand seven hundred eighty-four

### Interesting facts

• 2139569784 has 128 divisors, whose sum is 9213523200
• The reverse of 2139569784 is 4879659312
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 54
• Digital Root 9

### Name

Name one billion seven hundred eighty-four million eight hundred ten thousand six hundred twenty

### Interesting facts

• 1784810620 has 64 divisors, whose sum is 5109811776
• The reverse of 1784810620 is 0260184871
• Previous prime number is 773

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 37
• Digital Root 1