SOLUTION: Let theta=310 degrees. Below we see a unit circle and a circle with radius 3 along with a radius representing theta. Using your calculator, what are the coordinates of both points?

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Question 1008006: Let theta=310 degrees. Below we see a unit circle and a circle with radius 3 along with a radius representing theta. Using your calculator, what are the coordinates of both points? Thanks for the help!
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
about thre quickest and easiest way to do this is as follows:

hypotenuse of right triangle formed is the radius of the circle = 3.

the angle is formed from the origin of the graph to the surface of the circle.

use the following formula to find x and y.

cos(310) = x / 3

sin(310) = y / 3

3 is the hypotenuse.
cos is adjacent divided by hypotenuse.
sin is opposite divided by hypotenuse.

since you're in the fourth quadrant, sin is negative and cosine is positive.

solve for x and y in both those equations to get:

cos(310) = x/3 results in x = 3 * cos(310).

sin(310) = y/3 results in y = 3 * sin(310).

solve for x and y using your calculator to get:

x = 1.928362829

y = -2.298133329

your coordinate point on the circle will be (1.928, -2.298)

your coordinate point on the origin of the graph is (0,0).

the following graph shows this visually.