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Trig using Coordinates

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okay we're going to look at now trade when you have coordinates so basically here's how it works you're going to be giving a Frabill just use XY and Chino and what's going to happen if you look down below far is going to represent your iPod so that would be your distance on the inside while I was going to be your vents on the west side based off of that you can use Pythagorean theorem to get your radius and so if you look down here at the bottom we have r squared equals x squared plus y squared do you think it square roots off or are you get are equals the square root of x squared plus y squared  up above we have archery ratios sign is going to be while there are and noticed on here I am put where my angle is that were talking about usually angle to work on the coordinate plane just going to come off the x-axis what is the positive or the negative X  I notice when we're talking about find here but this is still opposite over iPod 4 you're not really changing the rules you're just leaving with labeling it little bit cosine of theta is xor tangent of theta while draft and then you also have the reciprocal function pink ice all we have here is working to find the trig functions for the angle that has a terminal side that goes Cornelia Fox off the first thing I want to do is show your coordinate plane  set a time to be exact but negative are there 12 is going to put us over in quadrant 2  so what angles are going to be somewhere sphere  now we're going to do is really use a reference angle and I'm going to make a triangle Casa Del Mar breakfast Rangel is what it's called so I'm looking at all of that reference angle know what I'm going to do is I'm going to label my size I know my exercise is -5 and my wife 12 now even though it's negative you still want to end up leaving a negative because since we're in quadrant to anything that has an expo open end up being negative so that means cosine secant tangent and cotangent are going to end up being we're working with all four quadrants  so find your radius  Amadou R equals the square root 12 squared + -5 squared sound when you clean that up you get already goals  13 so my radius is 13 now to get straight function off pretty easy so I'mma have sign Jada is equal to why ever are which wine is cases 12 mile radius is 13 sign with p x / are my ex is not a 5 Mi radius is 13  Jennifer engine  I get y over X which is 12 over negative 5 the reciprocals just love it reciprocal sign Cozy Coupe Bunnelby 13 over 12 and just because you flip refraction doesn't mean it's going to go from negative secant  would be native 13 / 5 and cotangent will be negative 5 over 12 and so there is your six trig functions

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Trig using Coordinates

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