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Alja [10]
2 years ago
7

Determine the ordered pair that represents the coordinates of the point where the terminal side of the angle measuring 245∘ inte

rsects 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.

Mathematics
2 answers:
rosijanka [135]2 years ago
3 0
The point
x =  \sin \theta  \: and \: y = cos \theta
lies on the unit circle.


The reference angle for 245° is 65°.


Since 245° lies in the third quadrant,

cosine is negative and sine is negative

Therefore 245° intersect the unit circle at


x =  -  \sin ( 65 \degree )  \: and \: y =  - \cos(65 \degree)
In terms of x and y, 245° intersects the unit circle at


( - x,-y)

Stella [2.4K]2 years ago
3 0

Answer:


Step-by-step explanation:

For any circle in polar coordinates we write as

x= rcost and y = r sint

For unit circle r =1

Hence x = cost and y =sint

Here t = 245 lies in III quadrant,  Both sin and cos are negative

x = cos 245 =-0.4227

y =sin 245 =-0.9063

Hence ordered pair is

(-0.4227, -0.9063)

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