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:
[tex]\rm x=sin\;\theta[/tex]
[tex]\rm y = cos \; \theta[/tex]
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:
[tex]\rm x = -sin\;65^\circ[/tex]
[tex]\rm y =- cos\;65[/tex]
Step 4 - Therefore, in terms of x and y, 245 degree angle intersect at (-x,-y).
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https://brainly.com/question/22051318
