The terminal side of an angle in standard position measuring 5∘ intersects the unit circle at (x, y). What ordered pair represents the coordinates of the point where the terminal side of the angle measuring 175∘ intersects the unit circle? Answer with an ordered pair in terms of x and y.

The ordered pair associated with an angle whose terminal side measures 175° is .

Given a unit circle and an angle in standard position (), in sexagesimal degrees. The ordered pair in rectangular coordinates and asociated to a standard angle is represented by the following expression:

(1)

If we know that , then the coordinates of the ordered pair is:

The ordered pair associated with an angle whose terminal side measures 175° is .

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Step-by-step explanation:

Given that,

The terminal side of an angle in the standard position measuring 5° intersects the unit circle at (x,y).

coordinates on the unit circle can be derived using: (x, y) = (cos A, sin A), where A is the measurement of the angle.

So,

(x, y) = (Cos5°, Sin5°)

The reference angle for 5° is 175°.

Since 5° lies in the first quadrant,

cosine is positive and sine is positive in the first quadrant

Therefore 5° intersect the unit circle at

x = sin175 and y = —Cos175

Since cos175 is negative

In terms of x and y, 175° intersects thee unit circle at (x, —y)

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step-by-step explanation:

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