Reference angles are really easy and they are needed at various times throughout your entire trigonometry life!
We learned this a few months ago, so you should remember how to do.
Incase you didn't, i'm going to review how to do it. It's very simple
Example 1:
Find the reference angle of Sin 120.
- Because Sin is y/r, you have to find out weather or not y's are negative or positive in the quadrant that 120 is in.
- Because sin 120 is in quadrant II, it is positive.
- Now you have to find the reference angle by making 120 negative and adding 180.
- You now get Sin 60.
- Simplify it completely and you get sqrt3/2
Example 2:
Find the reference angle of Cos 315
- Because Cos is x/r, you have to find out weather or not x's are negative or positive in the quadrant that 315 is in.
- Because Cos 315 is in quadrant 4, it is positive.
- Now you have to find the reference angle by making 315 negative and adding 360.
- You get Cos 45
- Simplify it completely and you get sqrt2/2
Merry Christmas to allllll and to all a good night! :)
Carley :)
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