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 sixty-eight million one hundred seventy-nine thousand six hundred sixty-eight |
---|

- 468179668 has 32 divisors, whose sum is
**1155536928** - The reverse of 468179668 is
**866971864** - Previous prime number is
**181**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 55
- Digital Root 1

Name | one hundred fifty-six million nine hundred thirty-five thousand three hundred sixty-seven |
---|

- 156935367 has 16 divisors, whose sum is
**371995008** - The reverse of 156935367 is
**763539651** - Previous prime number is
**3**

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

Name | one billion seven hundred twenty-seven million nine hundred ninety-four thousand eight hundred nine |
---|

- 1727994809 has 8 divisors, whose sum is
**1773638400** - The reverse of 1727994809 is
**9084997271** - Previous prime number is
**199**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 56
- Digital Root 2