PreCalculus - Trigonometry: Trig Identities (31 of 57) Proof cos^2(x)=(1+cos2x)/2

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In this video I will prove cos^2(x)=(1+cos2x)/2.
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Really hard to find some good videos about specific problems but i found it!

khikgikhi
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Does cos^2(2x) then equal (1+cos4x)/2?

azinakachiasonye
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Thank you very much, this video saved me !

neiichu
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Does cos^2+sin^2=1 work as well? Why do we use 2cos as the basis?

blazingcraft
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(cosx)^2=cos(x×x) why did you put cos(x+x)

Priceygames
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why do we change the negative sign of sin into a positive sign when we flip the terms at the 4th ligne ?

rdjparker
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If possible, please improve your lighting. Can't see a thing

mohanjha