# Find the Exact Value tan(pi/12)

Find the Exact Value tan(pi/12)
Split into two angles where the values of the six trigonometric functions are known.
Apply the difference 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 .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify the denominator.
Multiply by .
Multiply by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Simplify the numerator.
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 .
Multiply by .
Multiply by .
Multiply .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Subtract from .
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 five hundred sixty-seven million one hundred fifty-seven thousand nine hundred thirteen

### Interesting facts

• 567157913 has 4 divisors, whose sum is 648180480
• The reverse of 567157913 is 319751765
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 44
• Digital Root 8

### Name

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

### Interesting facts

• 1633136690 has 8 divisors, whose sum is 2939646060
• The reverse of 1633136690 is 0966313361
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 38
• Digital Root 2

### Name

Name two hundred seven million seven hundred ninety-six thousand four hundred thirty-two

### Interesting facts

• 207796432 has 64 divisors, whose sum is 1056581820
• The reverse of 207796432 is 234697702
• Previous prime number is 229

### Basic properties

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