Question

Find the smallest positive angle θ in the third quadrant for which tan(θ) = 1.

Answer 1

Thought you posted this already but w/e.
Basically only time you have a tangent theta equal to one both values of sine and cosine must be the same.
This occurs at every 45 degree angle in each quadrant. 225 Degrees is for the third quadrant.

Answer 2

I knew part of it would be 45, but I didn't realize how to figure 225. Thank you!

Answer 3

That's my crappy drawing of where all the angles. Basically add 90 degrees f

Answer 4

Oh! My math teacher makes it so confusing! We're doing the homework on the computer... NO HELP. lol

Answer 5

Anyways the angle is in the first quadrant is 45 degrees you add 90 degrees every quadrant.

Answer 6

Oh, alright! It actually makes sense now! Haha!