# Find the Exact Value tan(105)

Find the Exact Value tan(105)
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 the denominator.
Multiply by .
Rewrite as .
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 .
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 .
Move the negative one from the denominator of .
Rewrite as .
Apply the distributive property.
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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### Name

Name three hundred thirty-three million one hundred seventy-nine thousand two hundred fifty-three

### Interesting facts

• 333179253 has 16 divisors, whose sum is 411480000
• The reverse of 333179253 is 352971333
• Previous prime number is 53

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 36
• Digital Root 9

### Name

Name seven hundred fifty-three million four hundred seventy-three thousand nine hundred sixty-eight

### Interesting facts

• 753473968 has 128 divisors, whose sum is 4125201696
• The reverse of 753473968 is 869374357
• Previous prime number is 241

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 52
• Digital Root 7

### Name

Name two hundred twenty-six million nine hundred eighty-six thousand nine hundred seventy-two

### Interesting facts

• 226986972 has 16 divisors, whose sum is 680960952
• The reverse of 226986972 is 279689622
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 51
• Digital Root 6