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30-03-2018
Mathematics

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Show that cos2x + 1 = 2cos2 x. Use the "^" key on the keyboard to indicate an exponent. For example, sin2 x would be typed as sin^2x.

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demariaa01 demariaa01

30-03-2018

cos2x+1=2cos²x

cos2x equals to cos²x-sin²x
1 equals to sin²x+cos²x
Then substitute:

cos²x-sin²x+sin²x+cos²x=2cos²x
cos²x+cos²x=2cos²x
2cos²x=2cos²x
Verified.

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