Question

why cos( angle) is always positive.​

Answer 1

Answer:

Because θ is measured from the positive x-axis, all this does is to flip the endpoint over the x-axis, as shown below. Since cosine is the x-component of P, and sine is the y component, flipping over the x-axis will negate sinθ, but not cosθ. Hopefully this makes it clear why sine and cosine behave the way they do.

Step-by-step explanation:

hope it helps u

Answer 2

Answer:

It has to be labeled with a positive number, because x is positive in the first quadrant (so is y, but that's not relevant to the cosine function). The hypotenuse is always positive, because it's a length. Therefore, the cosine is positive. Finally, the angle theta is positive, because you're in the first quadrant.

Step-by-step explanation:

Hope it helps you