Sum and Difference Identities for Cosine

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This video has been of great help to me. I could not understand the text book examples at all. Thank you

argelismcintire
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Did you use Pythagoras formula to calculate -5 and 3 on the x-axis or did you use some other method? 

Banzay
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3:08 why did the sign change to add when the original is subtracting?

tahiraparveen
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In the first problem you present here, you end up adding the fractions (-3/13) and (48/65) when you should be subtracting them??

IanHigley
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That last problem confused me: Find exact value of you put that cos(40+50)=cos(90)=0 but wouldn't it be cos(90)-sin(90)= 0-1= -1? I could be completely wrong but I'm just starting to learn this stuff.

lotusblossom
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thanks, i was on pearson and was confused asf until i saw how you used the unit circle on here.

kevinsosa
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I'm confused. At 3 minutes, why does the minus become a plus? What is the point of writing cosacosb - sinasinb if it just magically turns into a plus after you do the multiplication?

nathanrogers
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for the third one I use the sum identity (pi/4+pi/3=7pi/12) and I got rad 6-rad2/4, would this be considered correct still?

amandamariscal