Convert to Rectangular Coordinates (3 square root of 3,(3pi)/2)

Convert to Rectangular Coordinates (3 square root of 3,(3pi)/2)

$(3 \sqrt{3}, \frac{3 π}{2})$

Use the conversion formulas to convert from polar coordinates to rectangular coordinates.

$x = r c o s θ$

$y = r s i n θ$

Substitute in the known values of $r = 3 \sqrt{3}$ and $θ = \frac{3 π}{2}$ into the formulas.

$x = (3 \sqrt{3}) \cos (\frac{3 π}{2})$

$y = (3 \sqrt{3}) \sin (\frac{3 π}{2})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$x = 3 \sqrt{3} \cos (\frac{π}{2})$

$y = (3 \sqrt{3}) \sin (\frac{3 π}{2})$

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$x = 3 \sqrt{3} \cdot 0$

$y = (3 \sqrt{3}) \sin (\frac{3 π}{2})$

Multiply $3 \sqrt{3} \cdot 0$ .

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Multiply $0$ by $3$ .

$x = 0 \sqrt{3}$

$y = (3 \sqrt{3}) \sin (\frac{3 π}{2})$

Multiply $0$ by $\sqrt{3}$ .

$x = 0$

$y = (3 \sqrt{3}) \sin (\frac{3 π}{2})$

$x = 0$

$y = (3 \sqrt{3}) \sin (\frac{3 π}{2})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

$x = 0$

$y = 3 \sqrt{3} (- \sin (\frac{π}{2}))$

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$x = 0$

$y = 3 \sqrt{3} (- 1 \cdot 1)$

Multiply $- 1$ by $1$ .

$x = 0$

$y = 3 \sqrt{3} \cdot - 1$

Multiply $- 1$ by $3$ .

$x = 0$

$y = - 3 \sqrt{3}$

The rectangular representation of the polar point $(3 \sqrt{3}, \frac{3 π}{2})$ is $(0, - 3 \sqrt{3})$ .

$(0, - 3 \sqrt{3})$

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Name

Name	one hundred eighty-two million nine hundred four thousand two hundred ninety-eight

Interesting facts

182904298 has 16 divisors, whose sum is 289084320
The reverse of 182904298 is 892409281
Previous prime number is 1427

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 43
Digital Root 7

Name

Name	one billion three hundred eighty-three million eight hundred thirty-nine thousand one hundred sixteen

Interesting facts

1383839116 has 64 divisors, whose sum is 3475755360
The reverse of 1383839116 is 6119383831
Previous prime number is 53

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 43
Digital Root 7

Name

Name	sixty-four million seven hundred forty-five thousand four hundred sixty-five

Interesting facts

64745465 has 8 divisors, whose sum is 77750280
The reverse of 64745465 is 56454746
Previous prime number is 1709

Basic properties

Is Prime? no
Number parity odd
Number length 8
Sum of Digits 41
Digital Root 5

Evaluate cot(-210 degrees )

Find the Inverse y=-3x^3

Convert from Degrees to Radians 325 degrees

Find the Value Using the Unit Circle tan(pi/4)

Convert to a Simplified Fraction square root of 64

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$