You've already shown:
What does each of these inequalities tell you about ?
So I have a question that is:
Given that cos theta = 24/25 and theta is in Quadrant I, determine sin 2theta, cos 2theta and tan 2theta. Which quadrant is 2theta in?
I already solved the sin, cos and tan portion of the problem
sin 2theta = 336/625
cos 2theta = 527/625
tan 2theta = 336/527
but the issue I have is I have no idea how to determine which quadrant 2theta is in.
Any help would be appreciated! Thanks in advance!
It might help if you consider as a single variable. That is, let (a is for angle!) Now, each of the values you calculated is positive.
What quadrants can a be in to make sin(a) positive?
What quadrants can a be in to make cos(a) positive?
What quadrants can a be in to make tan(a) positive?