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

Substitute in the known values of <math><mstyle displaystyle="true"><mi>r</mi><mo>=</mo><mn>1.5</mn></mstyle></math> and <math><mstyle displaystyle="true"><mi>θ</mi><mo>=</mo><mo>-</mo><mfrac><mrow><mn>7</mn><mi>π</mi></mrow><mrow><mn>6</mn></mrow></mfrac></mstyle></math> into the formulas.

Add full rotations of <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> until the angle is greater than or equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and less than <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> .

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 <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mfrac><mrow><mi>π</mi></mrow><mrow><mn>6</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mfrac><mrow><msqrt><mn>3</mn></msqrt></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Move the leading negative in <math><mstyle displaystyle="true"><mo>-</mo><mfrac><mrow><msqrt><mn>3</mn></msqrt></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> into the numerator.

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>1.5</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.75</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>0.75</mn></mstyle></math> by <math><mstyle displaystyle="true"><msqrt><mn>3</mn></msqrt></mstyle></math> .

Add full rotations of <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> until the angle is greater than or equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and less than <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> .

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

The exact value of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mfrac><mrow><mi>π</mi></mrow><mrow><mn>6</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>1.5</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

The rectangular representation of the polar point <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>1.5</mn><mo>,</mo><mo>-</mo><mfrac><mrow><mn>7</mn><mi>π</mi></mrow><mrow><mn>6</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>1.2990381</mn><mo>,</mo><mn>0.75</mn><mo>)</mo></mrow></mstyle></math> .

Do you know how to Convert to Rectangular Coordinates (1.5,-(7pi)/6)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | four hundred nine million four hundred four thousand three hundred twenty-two |
---|

- 409404322 has 8 divisors, whose sum is
**614192796** - The reverse of 409404322 is
**223404904** - Previous prime number is
**12893**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 28
- Digital Root 1

Name | two hundred sixty-five million seven hundred sixty-four thousand nine hundred twenty |
---|

- 265764920 has 32 divisors, whose sum is
**1076348088** - The reverse of 265764920 is
**029467562** - Previous prime number is
**5**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 41
- Digital Root 5

Name | one billion eight hundred twenty-eight million six hundred four thousand ten |
---|

- 1828604010 has 32 divisors, whose sum is
**3046138368** - The reverse of 1828604010 is
**0104068281** - Previous prime number is
**73**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 30
- Digital Root 3