I'm doing homework for my trig class, and it's asking for us to use Pythagorean identities to solve for other trig values. I got through the first 10 fine, but I'm stuck on the last three. My teacher has specified that we have to use the pythagorean trig identities...aka
- $\sin^2 \theta + \cos^2 \theta = 1$
- $1 + \tan^2 \theta = \sec^2$
- $\cot^2 \theta + \ 1 = \csc^2 \theta$
The questions are...
- Given that x is in the first quadrant and csc x is 1, what is sin x?
- Given that x is in the first quadrant and sec x is $\sqrt{2}$, what is cos x?
- Given that x is in the first quadrant and sin x is 1/2, what is csc x?
I have no idea where to start using the Pythagorean Identities. Help?