given that θ is in standard position, find the values of the three trigonometric functions of angle θ if the terminal side of θ contains the points (-4,3)

Answer 1

Hello Liesel,

Here is a drawing showing the terminal side landing on the point (-4,3) where -4 is the x-value and 3 is the y-value:

First, you'd want to find the side r, the hypotenuse of the right triangle (Hint: Pythagorean theorem)

Once you find it, you can then use the definitions of sine, cosine and tangent to find them for angle θ:

1. sin θ = opposite/hypotenuse = y/r
2. cos θ = adjacent/hypotenuse = x/r
3. tan θ = opposite/adjacent = y/x

Remember: x = -4, y = 3, and once you find r as mentioned earlier, plug them where applicable in the previous 3 formulas and you'll easily solve this problem. You got this!