In this program we are going to practice using the Math class by computing some important values on the unit circle. Using the angles 0, 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, 0.01.5707963267948966: 0.0, 1.03.141592653589793: -1.0, 0.0Hints:You’ll need to use the Math.sin, Math.cos methodsand 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); // 0.707106781cosine = cosine * 100; // 70.7106781cosine = Math.round(cosine); // 71.0cosine = cosine / 100.0; // 0.71// Or put it all on one line:cosine = Math.round(cosine * 100) / 100.0;Some Math BackgroundThe Java methods need the angles to be in radians, rather than degrees. PI/2 radians is equal to 90 degrees. PI radians is equal to 180 degrees.That’s why we’re using multiples of PI in this exercise.
Question
In this program we are going to practice using the Math class by computing some important values on the unit circle. Using the angles 0, 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, 0.01.5707963267948966: 0.0, 1.03.141592653589793: -1.0, 0.0Hints:You’ll need to use the Math.sin, Math.cos methodsand 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); // 0.707106781cosine = cosine * 100; // 70.7106781cosine = Math.round(cosine); // 71.0cosine = cosine / 100.0; // 0.71// Or put it all on one line:cosine = Math.round(cosine * 100) / 100.0;Some Math BackgroundThe Java methods need the angles to be in radians, rather than degrees. PI/2 radians is equal to 90 degrees. PI radians is equal to 180 degrees.That’s why we’re using multiples of PI in this exercise.
Solution
The task is asking you to write a Java program that calculates and prints the cosine and sine values of the angles 0, PI/2, and PI. Here's a step-by-step guide on how to do it:
- First, you need to define the angles. In Java, you can use the
Math.PIconstant for the value of PI. The angles would be0,Math.PI/2, andMath.PI.
double angle1 = 0;
double angle2 = Math.PI/2;
double angle3 = Math.PI;
- Next, you need to calculate the cosine and sine of each angle. You can use the
Math.cosandMath.sinmethods for this. Remember to round the results to 2 decimal places as described in the task.
double cos1 = Math.round(Math.cos(angle1) * 100) / 100.0;
double sin1 = Math.round(Math.sin(angle1) * 100) / 100.0;
double cos2 = Math.round(Math.cos(angle2) * 100) / 100.0;
double sin2 = Math.round(Math.sin(angle2) * 100) / 100.0Similar Questions
Single File Programming QuestionProblem StatementDavid is studying trigonometry and wants to calculate the sine, cosine, and tangent values for a given angle in degrees.Write a program to assist David in this task. The program should take an input angle in degrees, convert it to radians, and then output the sine, cosine, and tangent values for that angle using the sin(), cos(), and tan() standard library functions.Formula: Radians = angle * (M_PI / 180.0) where M_PI is the constant value of pi defined in the math library.Input format :The input consists of an integer N representing the angle in degrees.Output format :After converting the input to radians,The first line prints a double value S, which is the sine value in the format "Sine of N is S".The second line prints a double value C, which is the cosine value in the format "Cosine of N is C".The third line prints a double value T, which is the tangent value in the format "Tangent of N is T".All three values are rounded to two decimal places.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:0 ≤ N ≤ 360Sample test cases :Input 1 :30Output 1 :Sine of 30 is 0.50Cosine of 30 is 0.87Tangent of 30 is 0.58Input 2 :0Output 2 :Sine of 0 is 0.00Cosine of 0 is 1.00Tangent of 0 is 0.00Input 3 :349Output 3 :Sine of 349 is -0.19Cosine of 349 is 0.98Tangent of 349 is -0.19Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
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