Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.sine, 180, degreessin180 ∘

Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.tangent, 90, degreestan90 ∘

Express the following as a function of a positive acute angle:sine, 326, degreessin326 ∘

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.

Give the exact value of sin(𝜋2)

Find the terminal point on the unit circle determined by π6 radians.Use exact values, not decimal approximations.