Convert to Trigonometric Form (cot(t))/(csc(t)-sin(t))

Convert to Trigonometric Form (cot(t))/(csc(t)-sin(t))
Rewrite in terms of sines and cosines.
Rewrite in terms of sines and cosines.
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Separate fractions.
Convert from to .
Convert from to .
Combine and .
This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.
The modulus of a complex number is the distance from the origin on the complex plane.
where
Substitute the actual values of and .
Find .
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Raising to any positive power yields .
Rewrite in terms of sines and cosines.
Rewrite in terms of sines and cosines.
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Add and .
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Separate fractions.
Convert from to .
Convert from to .
Combine and .
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Substitute the values of and .
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Name

Name one billion twenty-two million four hundred thirty-seven thousand one hundred forty-seven

Interesting facts

  • 1022437147 has 4 divisors, whose sum is 1066890960
  • The reverse of 1022437147 is 7417342201
  • Previous prime number is 23

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 31
  • Digital Root 4

Name

Name one billion five hundred ninety-one million one hundred twenty thousand three hundred eighteen

Interesting facts

  • 1591120318 has 4 divisors, whose sum is 2386680480
  • The reverse of 1591120318 is 8130211951
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 31
  • Digital Root 4

Name

Name six hundred twenty-five million nine hundred forty-six thousand one hundred twenty-two

Interesting facts

  • 625946122 has 8 divisors, whose sum is 939137472
  • The reverse of 625946122 is 221649526
  • Previous prime number is 4591

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 37
  • Digital Root 1