0
$\begingroup$

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...

  1. Given that x is in the first quadrant and csc x is 1, what is sin x?
  2. Given that x is in the first quadrant and sec x is $\sqrt{2}$, what is cos x?
  3. 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?

  • 0
    I don't see any reason to use the Pythagorean identities. Here's a reminder that should help: $\csc \theta = 1 / \sin \theta$ and $\sec \theta = 1 / \cos \theta$.2012-02-07

1 Answers 1