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igomit [66]
3 years ago
5

Simplify the expression by using a double angle formula cos^2 4theta-sin^2 4theta

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)

Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)
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