To find the trigonometric functions for the standard-position angle determined by the point (x, y) = (16, 12), we first need to find the value of r, which is the distance from the origin to the point (x, y). We can use the Pythagorean theorem to find r:
r = √(x^2 + y^2)
r = √(16^2 + 12^2)
r = √(256 + 144)
r = √400
r = 20
Now, we can find the values of sine and cosine:
sinθ = y/r
sinθ = 12/20
sinθ = 0.6
cosθ = x/r
cosθ = 16/20
cosθ = 0.8
Therefore, sinθ = 0.6 and cosθ = 0.8 for the standard-position angle determined by the point (16, 12).
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 sintheta and costheta.
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1 answer