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Use the double angle identity cos2=cos-sinto verify the double angle identity cos2x=2cos-1
The right side is more complicated so start there:
cos(2) =cos-sin cos= cos(2x)
Rewrite sin2)using the Pythagorean identity:
Distribute the negative sign:
cos2x
3.
Group like terms:
cos(2x)
Now you have: Proven!
cos(2x) cos(2x
FORMATTING INSTRUCTIONS BELOW
Type in lowercase and use parentheses.For example type sin(x) not sinx. For fractions use the divide symbol"/ sin For example sin(x/cos(xfor cos(