# 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 five hundred eighty-four million two hundred seventy-three thousand sixty-three

### Interesting facts

• 1584273063 has 8 divisors, whose sum is 2113544176
• The reverse of 1584273063 is 3603724851
• Previous prime number is 1801

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion four hundred eighty-nine million one hundred forty-eight thousand six hundred twenty-four

### Interesting facts

• 1489148624 has 64 divisors, whose sum is 7540975260
• The reverse of 1489148624 is 4268419841
• Previous prime number is 4129

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 47
• Digital Root 2

### Name

Name one billion six hundred twenty-three million six hundred twenty-four thousand four hundred fifteen

### Interesting facts

• 1623624415 has 16 divisors, whose sum is 2228147712
• The reverse of 1623624415 is 5144263261
• Previous prime number is 1607

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 34
• Digital Root 7