# 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 .
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.
Apply the product rule to .
Apply the product rule to .
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 two billion seventeen million nine hundred ninety-eight thousand eight hundred thirty-four

### Interesting facts

• 2017998834 has 8 divisors, whose sum is 4035997680
• The reverse of 2017998834 is 4388997102
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name two billion one hundred thirty-five million six hundred sixty-six thousand seventy-eight

### Interesting facts

• 2135666078 has 16 divisors, whose sum is 3520330800
• The reverse of 2135666078 is 8706665312
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

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

### Interesting facts

• 1354936672 has 128 divisors, whose sum is 10312918056
• The reverse of 1354936672 is 2766394531
• Previous prime number is 433

### Basic properties

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