This problem can be solved using Python's built-in math library. Here is a step-by-step guide on how to solve it:

1. Import the math library in Python. This library contains the functions and constants we need to solve this problem.

```python
import math
```

2. Take the radius and angle as input from the user. The input function in Python can be used to take user input. However, this function returns a string, so we need to convert this string to a float.

```python
r = float(input())
a = float(input())
```

3. Convert the angle from degrees to radians. We can use the radians function from the math library to do this.

```python
radian = math.radians(a)
```

4. Calculate the Cartesian coordinates using the formulas provided in the problem statement. The cos and sin functions from the math library can be used to calculate the cosine and sine of the angle, respectively.

```python
x = r * math.cos(radian)
y = r * math.sin(radian)
```

5. Print the Cartesian coordinates. We can use the round function to round the coordinates to one decimal place.

```python
print(round(x, 1), round(y, 1))
```

Here is the complete code:

```python
import math

r = float(input())
a = float(input())

radian = math.radians(a)

x = r * math.cos(radian)
y = r * math.sin(radian)

print(round(x, 1), round(y, 1))
```

This program takes the radius and angle as input, converts the angle to radians, calculates the Cartesian coordinates, and prints them.

Question

This problem can be solved using Python's built-in math library. Here is a step-by-step guide on how to solve it:

1. Import the math library in Python. This library contains the functions and constants we need to solve this problem.

```python
import math
```

2. Take the radius and angle as input from the user. The input function in Python can be used to take user input. However, this function returns a string, so we need to convert this string to a float.

```python
r = float(input())
a = float(input())
```

3. Convert the angle from degrees to radians. We can use the radians function from the math library to do this.

```python
radian = math.radians(a)
```

4. Calculate the Cartesian coordinates using the formulas provided in the problem statement. The cos and sin functions from the math library can be used to calculate the cosine and sine of the angle, respectively.

```python
x = r * math.cos(radian)
y = r * math.sin(radian)
```

5. Print the Cartesian coordinates. We can use the round function to round the coordinates to one decimal place.

```python
print(round(x, 1), round(y, 1))
```

Here is the complete code:

```python
import math

r = float(input())
a = float(input())

radian = math.radians(a)

x = r * math.cos(radian)
y = r * math.sin(radian)

print(round(x, 1), round(y, 1))
```

This program takes the radius and angle as input, converts the angle to radians, calculates the Cartesian coordinates, and prints them.

Knowee AI · Accepted Answer