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1. The latitude of Houston, Texas is about 30° N. About how far is it from the North Pole given the radius of the earth is 3967 miles?

a. 23,778 miles

b. 4150 miles

c. 2075 miles

d. none of the above

2. With what restricted domain would the cosine function have an inverse?

a.{x| 0 <= x <= pi}

b.{x| -pi/2 <= x <= pi/2}

c.{x| -pi/2 < x < pi/2}

d.{x| 0 < x < pi}

3. Find the direction of angle alpha(The greek 'a' thing) for whose equation is x^2 - 2xy + 2y^2 = -4.

a. .55

b. pi/8

c. 1.1

d. pi/3

I was able to do all the other problems but these ones for some reason I just got stuck on. I would like to say thanks alot in advanced.

Edit: I forgot to say if you could explain how you got the answer and stuff that would be the most helpful.