# Simplify sin((5pi)/12)cos(pi/3)+cos((5pi)/12)sin(pi/3)

Simplify sin((5pi)/12)cos(pi/3)+cos((5pi)/12)sin(pi/3)
Simplify terms.
Simplify each term.
The exact value of is .
Split into two angles where the values of the six trigonometric functions are known.
Apply the sum of angles identity.
The exact value of is .
The exact value of is .
The exact value of is .
The exact value of is .
Simplify .
Simplify each term.
Multiply .
Multiply and .
Multiply by .
Multiply .
Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Combine the numerators over the common denominator.
The exact value of is .
Multiply .
Multiply and .
Multiply by .
The exact value of is .
Split into two angles where the values of the six trigonometric functions are known.
Apply the sum of angles identity.
The exact value of is .
The exact value of is .
The exact value of is .
The exact value of is .
Simplify .
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 exact value of is .
Multiply .
Multiply and .
Multiply by .
Apply the distributive property.
Combine using the product rule for radicals.
Multiply .
Combine using the product rule for radicals.
Multiply by .
Simplify each term.
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Combine the numerators over the common denominator.
Simplify the numerator.
Subtract from .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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### Name

Name three hundred seventy-six million four hundred ninety-five thousand one hundred twenty-eight

### Interesting facts

• 376495128 has 512 divisors, whose sum is 2647572480
• The reverse of 376495128 is 821594673
• Previous prime number is 41

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 45
• Digital Root 9

### Name

Name eight hundred fifty-three million two hundred thirty-eight thousand twenty-nine

### Interesting facts

• 853238029 has 16 divisors, whose sum is 1152864000
• The reverse of 853238029 is 920832358
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 40
• Digital Root 4

### Name

Name one billion eight hundred seventy-eight million one hundred sixty-two thousand two hundred seventy-eight

### Interesting facts

• 1878162278 has 32 divisors, whose sum is 3008223360
• The reverse of 1878162278 is 8722618781
• Previous prime number is 229

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 50
• Digital Root 5