# Find the Exact Value tan((5pi)/12)

Find the Exact Value tan((5pi)/12)
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 .
Multiply the numerator and denominator of the complex fraction by .
Multiply by .
Combine.
Apply the distributive property.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify the denominator.
Multiply by .
Multiply by .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Multiply by .
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Simplify the numerator.
Reorder terms.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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### Name

Name one billion two hundred thirty-seven million seven hundred forty-four thousand three hundred ninety-eight

### Interesting facts

• 1237744398 has 32 divisors, whose sum is 2132036640
• The reverse of 1237744398 is 8934477321
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion six hundred twenty-two million six hundred ninety-three thousand thirty-one

### Interesting facts

• 1622693031 has 4 divisors, whose sum is 2163590712
• The reverse of 1622693031 is 1303962261
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 33
• Digital Root 6

### Name

Name seventy million three hundred eight thousand seven hundred nineteen

### Interesting facts

• 70308719 has 16 divisors, whose sum is 81158112
• The reverse of 70308719 is 91780307
• Previous prime number is 83

### Basic properties

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