In this program we are going to practice using the Math class by computing some important values on the unit circle. Using the angles , PI/2, and PI, print out the angle, the cosine of the angle, and the sine of the angle. Your output should look like this: Radians: (cos, sin) 0.0: 1.0, 0.0 1.5707963267948966: 0.0, 1.0 3.141592653589793: -1.0, 0.0 Hints: • You'll need to use the Math. sin, Math. cos methods and the Math. PI constant! • You can round a decimal to 2 decimal places by multiplying by 100, rounding to the nearest int using Math. round, and then dividing by 100. You will need to round the sine and cosine values. Here's an example double angle = Math. PI/4; double cosine = Math. cos(angle); 11 8.707106781 cosine = cosine * 188; 770.7186781 cosine = Math. round(cosine); 71.0 cosine = cosine / 158.0; 108.71 Hints: You'll need to use the Math. sin, Math. cos methods and the Math. PI constant! • You can round a decimal to 2 decimal places by multiplying by 100, rounding to the nearest int using Math. round, and then dividing by 100. You will need to round the sine and cosine values. Here's an example: double angle Math. PI/4; double cosine = Math. cos(angle); // 0.707106781 cosine cosine * 100; W 70.7106781 cosine Math. round(cosine); // 71.0 cosine cosine / 100.8; // 0.71 // Or put it all on one line: cosine = Math. round(cosine * 100) / 100.0 Some Math Background The Java methods need the angles to be in radians, rather than degrees P/2 radians is equal to 90 degrees. Pl radians is equal to 180 degrees That's why we're using multiples of Pl in this exercise. 1 import java. lang. Math; 2 public class Unitcircle 3- FILES Unit Circle Java 4 5- 6 7 8 9 10 11 12 13 public static void main(String[] args) { System. out. println("Radians: (cos, sin)"); // Put your code here! double pi - Math. PI; double radianvalue; double sinvalue; double cosValue; 14 15 16 17- 18 fon(double 1 e; i<2 pi; i -it (pi/2)) { radianValue - (1 100)/100.8; 19 20 21 22 sinvalue - Math. round(Math. sin(1) "100) / 100.e; cosValue - Math. round(Math. cos(i)* 100) / 100.0; System. out. println(radianvalue + ": "+cosValue" sinvalue); 23 24 25 26 27 28 29 Run Code ✓ Check Code 1 STOP Radians: (cos, sin) 0.0: 1.0, 0.0 1.5707963267948966: 0.0, 1.0 3.141592653589793: -1.0, 0.0 4.71238898038469: 0.0-1.0 Has output ✓ Good work Х Has correct number of output lines Make sure you are printing out the result for 0, PI/2, and Pl (4 lines total) Expected result Radians: (cos, sin) 0.0: 1.0, 0.0 1.5707963267948966: 0.0, 1.0 3.141592653589793: -1.0, 0.0 Your result: Radians: (cos, sin) 0.0: 1.0, 0.0 1.5707963267948966: 0.0, 1.0 3.141592653589793; -1.0, 0.0 4.71238898038469: 0.0 -1.0 Difference Radians: (cos, sin) 0.0: 1.0, 0.0 1.5707963267948966: 9.0, 1.0 3.14159 2653589793: -1.0, 0.0 4.712388980384692 0.0 -110