# Convert to Trigonometric Form 3(cos(pi)+isin(pi))

Convert to Trigonometric Form 3(cos(pi)+isin(pi))
Simplify each term.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
The exact value of is .
Multiply by .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
Multiply by .
Simplify the expression.
Multiply by .
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 .
Raise to the power of .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Since inverse tangent of produces an angle in the second quadrant, the value of the angle is .
Substitute the values of and .
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### Name

Name one billion six hundred sixty-two million two hundred forty thousand two hundred twelve

### Interesting facts

• 1662240212 has 64 divisors, whose sum is 4228899840
• The reverse of 1662240212 is 2120422661
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 26
• Digital Root 8

### Name

Name one hundred sixty-seven million six hundred ninety-two thousand seven hundred sixty-two

### Interesting facts

• 167692762 has 8 divisors, whose sum is 251608896
• The reverse of 167692762 is 267296761
• Previous prime number is 4463

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 46
• Digital Root 1

### Name

Name one billion seventy-three million seven hundred forty-five thousand four hundred ninety-five

### Interesting facts

• 1073745495 has 16 divisors, whose sum is 1432261440
• The reverse of 1073745495 is 5945473701
• Previous prime number is 6101

### Basic properties

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