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Question Number 163020 by amin96 last updated on 03/Jan/22

cos^(2n) (x)+sin^(2n) (x)=((4^n +1)/5^n )  prove that

$$\boldsymbol{\mathrm{cos}}^{\mathrm{2}\boldsymbol{\mathrm{n}}} \left(\boldsymbol{\mathrm{x}}\right)+\boldsymbol{\mathrm{sin}}^{\mathrm{2}\boldsymbol{\mathrm{n}}} \left(\boldsymbol{\mathrm{x}}\right)=\frac{\mathrm{4}^{\boldsymbol{\mathrm{n}}} +\mathrm{1}}{\mathrm{5}^{\boldsymbol{\mathrm{n}}} } \\ $$$$\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{that}} \\ $$

Commented by amin96 last updated on 03/Jan/22

  I came across it on Instagram. It is not correct in my opinion. I posted the question here to get other people's opinions.

$$ \\ $$I came across it on Instagram. It is not correct in my opinion. I posted the question here to get other people's opinions.

Commented by mr W last updated on 03/Jan/22

you cant prove, because it′s not true.

$${you}\:{cant}\:{prove},\:{because}\:{it}'{s}\:{not}\:{true}. \\ $$

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