Question

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Answer 1

I tooks test :)

Explanation:

Answer 2

Graphing the given point takes us to quadrant 4. Drop a perpendicular to the point (1, -1) and draw a line from the origin to the point. This line is the hypotenuse.

Let h = hypotenuse

(-1)^2 + (1)^2 = h^2

1 + 1 = h^2

2 = h^2

Taking the square root on both sides of the equation we get

sqrt{2} = h

In quadrant 4, only cosine is positive.

sine θ = -1/sqrt{2}

cos θ = 1/sqrt{2}

tan θ = -1/1

tan θ = -1

Did you follow?