To convert a point from polar form $(r, \theta)$ to rectangular form $(x, y)$, we use the following formulas:

$x = r \cdot \cos(\theta)$ $y = r \cdot \sin(\theta)$

Given:

• $r = -1$
• $\theta = 27^\circ$

We first calculate $x$ using the formula for $x$:

$x = -1 \cdot \cos(27^\circ)$

Now, let's compute this value.The value of $x$ in rectangular form is approximately $-0.9$.

Would you like help filling in the second blank (the $y$-coordinate) or any other details?

Here are 5 related questions:

1. How do you convert rectangular coordinates back to polar coordinates?
2. What is the significance of a negative $r$ in polar coordinates?
3. How would the conversion change if the angle were given in radians instead of degrees?
4. What is the difference between polar and Cartesian coordinate systems?
5. How do you calculate the distance between two points in polar coordinates?

Tip: Always make sure to convert degrees to radians when working with trigonometric functions in most calculators or programming environments.