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23 June, 14:23

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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  1. 23 June, 16:10
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    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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