Find an approximate value of the given trigonometric function by using the following figure and a calculator.sin(1.5)The x y-coordinate plane is given. A unit circle with 63 equally spaced terminal points on it is shown.The 10th terminal point is labeled 1 and is located in the first quadrant at approximate coordinates (0.54, 0.84).The 15th terminal point is located in the first quadrant at approximate coordinates (0.07, 1.00).The 20th terminal point is labeled 2 and is located in the second quadrant at approximate coordinates (−0.42, 0.91).The 30th terminal point is labeled 3 and is located in the second quadrant at approximate coordinates (−0.99, 0.14).The 40th terminal point is labeled 4 and is located in the third quadrant at approximate coordinates (−0.65, −0.76).The 50th terminal point is labeled 5 and is located in the fourth quadrant at approximate coordinates (0.28, −0.96).The 60th terminal point is labeled 6 and is located in the fourth quadrant at approximate coordinates (0.96, −0.28).(a)the figure (Round your answer to one decimal place.)(b)a calculator (Round your answer to four decimal places.)

The question is asking for the approximate value of the trigonometric function sin(1.5) using both the given figure and a calculator.

(a) Using the figure: The figure has 63 equally spaced terminal points on the unit circle. We need to find the point that corresponds to 1.5. Since the points are equally spaced, we can calculate the point number for 1.5 by multiplying 1.5 by the total number of points and dividing by 2π (since the total angle in a circle is 2π radians). This gives us (1.5 * 63) / (2π) ≈ 15.08. This is between the 15th and 16th points. Looking at the coordinates given for the 15th point (0.07, 1.00), we can see that the y-coordinate (which corresponds to the sine value) is 1.00. Since the 16th point would be slightly further along the circle in the positive y-direction, we can estimate that sin(1.5) is slightly more than 1.00. However, since we are asked to round to one decimal place, we can approximate sin(1.5) as 1.0.

(b) Using a calculator: To find the value of sin(1.5) using a calculator, simply enter "sin(1.5)" and press the equals button. The calculator should give you a value of approximately 0.9975 when rounded to four decimal places.