Determine the ordered pair that represents the coordinates of the point where the terminal side of the angle measuring 245∘ intersects the unit circle, if the terminal side of an angle in standard position measuring 65∘ intersects the unit circle at (x, y)? answer with an ordered pair in terms of x and y.

The ordered pair that represents the coordinates of the point where the terminal side of the angle measuring 245 degrees intersects the unit circle is (-x,-y).

Given :

The terminal side of the angle measuring 245∘ intersects the unit circle, if the terminal side of an angle in the standard position measuring 65∘ intersects the unit circle at (x,y).

The following steps can be used in order to determine the ordered pair that represents the coordinates of the point:

Step 1 - The point that lies on the unit circle is:

Step 2 - The angle measuring 245 degrees lies in the third quadrant where sine and cosine both are negative.

Step 3 - The 245 degree angle intersects the unit circle at:

Step 4 - Therefore, in terms of x and y, 245 degree angle intersect at (-x,-y).

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step-by-step explanation:

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