Trigonometric Ratios

Hello class. I am going to be teaching you all about trigonometric ratios.. Just kidding Mr.P already taught us. I'm just going to be recapping what we may or may not already know. Bad joke? Yeah I know, anyways lets get started.

The first thing you'll need to remember are these: 

The 6 Trigonometric Ratios

Also SOH CAH TOA will come very handy in this unit. 

So for example, lets say the given points are A(-3/5, -4/5), we need to find 6 trigonometric ratios for theta(θ)

So first off we're going to need a diagram, 

Then you'll need to look at the given points again which is (-3/5,-4/5) and figure out which quadrant point A would go when using the CAST rule. You also need to remember that cos is x and sin is y. 

So since cos and sin are both negative, the point would go in quadrant 3. 

Cos is adjacent/hypotenuse which makes -3 the adjacent and sin is opposite/hypotenuse which makes -4 is opposite and the hypotenuse is 5

If you understand the CAST rule then you are able to plug the points in sin, cos and tan plus their reciprocals. 
So here are the following answers:

This is just one of many examples that are almost exactly the same as this. So now that you know this, the world is in your hands... haha just kidding but in all seriousness, you will be able to figure out any trigonometric ratio question that comes your way.