The polar coordinates of a point are given. Find the rectangular coordinates of this point. \( (3.7,2.1) \) What are the rectangular coordinates of this point? \( \square \) (Type an ordered pair. Round to the nearest hundredth as needed.)

To convert polar coordinates \((r, \theta)\) into rectangular coordinates \((x, y)\), you can use the formulas \(x = r \cdot \cos(\theta)\) and \(y = r \cdot \sin(\theta)\). For the point \( (3.7, 2.1) \), plug in the values: \(x = 3.7 \cdot \cos(2.1) \approx -0.87\) \(y = 3.7 \cdot \sin(2.1) \approx 3.55\) So the rectangular coordinates rounded to the nearest hundredth are \( (-0.87, 3.55) \). In the realm of trigonometry, polar coordinates offer a unique perspective on location, where distance from origin and angle are key. They're particularly useful in fields like physics and engineering, where circular motion is common. Just think about how easy it is to describe motion around a circular path using these coordinates rather than rectangular ones!