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How do you find the exact sine value of the angle in standard position whose terminal side goes through the point (-1, 5)?

Answer 1

Violet Anderson

Coordinates of point (-1, 5) in Quadrant II: x = -1 and y = 5. Call x the angle.

Calculator gives: # tan x = -1/5 --> x = -11.31# deg Since the point is in Quadrant II, then

#x = -11.31 + 180 = 168.69# deg

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Answer 2

Jordan Armstrong

You can find the exact sine value of the angle by using the coordinates of the point (-1, 5) in the Cartesian plane. The sine value of the angle can be calculated as the y-coordinate divided by the radius of the circle, which is the distance from the origin to the point (-1, 5). The radius can be found using the distance formula.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.