Find the Exact Value using the Sum and Difference Identities

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Find the Exact Value using the Sum and Difference Identities

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I tried finding another way without using the identity…
using:
Cos(87) = Sin(3)
Cos(93) = -Sin(3)

Sin(87) = Cos(3)
Sin(93) = Cos(3)

We now obtain:

-Sin^2(3) - Cos^2(3)

We recognize the equivalent 1 and factor it out to get -1


You can also generalize this result. In this case, the offset from 90 is 3 degrees but let’s denote it by x.



-Cos^2(90+x) - Sin^2(90+x)
= -1

I love your channel so much, thank you for making me happy with each video ❤️

josephtraverso
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What tablet you use for writing on pc?

cipherbenchmarks
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Using the identity Cos(x)cos(y)- sin(x)sin(y) = Cos(x+y)

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