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For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?. For the point (16,12) find sin theta and cos theta

Verified Answer :

HomertheGenius

First we must find the hypotenuse: 
c² = x² + y²
c² = 16² + 12²
c² = 256 + 144
c² = 400
c = √ 400
c = 20
sin t(theta) = y / c = 12/20 = 3 / 5
cos t(theta) = x / c = 16 / 20 = 4 / 5

facundo3141592

The angle is 36.87°, and the trigonometric functions evaluated in that are:

  • sin(36.87°) = 0.6
  • cos(36.87°) = 0.8

How to find the angle?

For a given point (x, y), the angle measured in the standard form defined by the angle is:

θ = Atan(y/x).

In this case, the point is (16, 12), so the angle is:

θ = Atan(12/16) = 36.87°

Now we evaluate the sine and cosine functions in that:

  • sin(36.87°) = 0.6
  • cos(36.87°) = 0.8

If you want to learn more about trigonometry:

https://brainly.com/question/8120556

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