Find the Exact Value cot(arcsin(3/5))

Find the Exact Value cot(arcsin(3/5))
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.
Apply the product rule to .
Raise to the power of .
Raise to the power of .
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Subtract from .
Rewrite as .
Simplify the numerator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the denominator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify terms.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine and .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
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Name

Name one billion twenty million nine hundred sixty-two thousand seven hundred ninety-four

Interesting facts

  • 1020962794 has 8 divisors, whose sum is 1532107620
  • The reverse of 1020962794 is 4972690201
  • Previous prime number is 2333

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name one billion eight hundred ninety-four million seven hundred twelve thousand four hundred ninety-one

Interesting facts

  • 1894712491 has 4 divisors, whose sum is 2165385712
  • The reverse of 1894712491 is 1942174981
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 46
  • Digital Root 1

Name

Name one billion one hundred twenty-seven million four hundred sixty-one thousand thirty-three

Interesting facts

  • 1127461033 has 4 divisors, whose sum is 1137998160
  • The reverse of 1127461033 is 3301647211
  • Previous prime number is 107

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 28
  • Digital Root 1