# Find the Exact Value tan(arccos(-15/17))

Find the Exact Value tan(arccos(-15/17))
Draw a triangle in the plane with vertices , , and the origin. Then is the angle between the positive x-axis and the ray beginning at the origin and passing through . Therefore, is .
Multiply the numerator by the reciprocal of the denominator.
One to any power is one.
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Raise to the power of .
Raise to the power of .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Rewrite as .
Simplify the numerator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify terms.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Simplify the expression.
Multiply by .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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### Name

Name one billion five hundred thirty-five million one hundred eleven thousand six hundred eighty-eight

### Interesting facts

• 1535111688 has 256 divisors, whose sum is 7961794560
• The reverse of 1535111688 is 8861115351
• Previous prime number is 661

### Basic properties

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

### Name

Name one hundred seventy-five million three hundred forty-nine thousand one hundred thirty-six

### Interesting facts

• 175349136 has 128 divisors, whose sum is 1203030144
• The reverse of 175349136 is 631943571
• Previous prime number is 61

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion two hundred forty-nine million four hundred ninety-nine thousand four hundred three

### Interesting facts

• 1249499403 has 16 divisors, whose sum is 1691615520
• The reverse of 1249499403 is 3049949421
• Previous prime number is 1697

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9