Suppose the point A is on a circle of radius 6 with an angle of 240 degrees. Find the value of the coordinates of this point. Round your results to 3 decimal places.
So in this case,
x=rcos(theta)
y=rsin(theta)
x=6cos(240)
y=6sin(240)
Rounding to 3 decimal places:
x=-3
y=-5.196
Is this correct?
right on
Yes, your calculations are correct. To find the coordinates of a point on a circle given the radius and angle, you can use the formulas x = rcos(theta) and y = rsin(theta), where r is the radius of the circle and theta is the angle.
In this case, the radius is 6 and the angle is 240 degrees. Substituting these values into the formulas, we get:
x = 6cos(240)
y = 6sin(240)
Evaluating these trigonometric functions, we can find the values of x and y. Rounding the results to 3 decimal places, we get x = -3 and y = -5.196.
So, the coordinates of the point A on the circle are (-3, -5.196).