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Question Number 166296 by mathlove last updated on 18/Feb/22

(cos x)^(2022) −(sin x)^(2022) =1  x=?

$$\left(\mathrm{cos}\:{x}\right)^{\mathrm{2022}} −\left(\mathrm{sin}\:{x}\right)^{\mathrm{2022}} =\mathrm{1} \\ $$$${x}=? \\ $$

Commented by mkam last updated on 18/Feb/22

x = n𝛑 ∀ n ∈ Z

$$\boldsymbol{{x}}\:=\:\boldsymbol{{n}\pi}\:\forall\:\boldsymbol{{n}}\:\in\:\boldsymbol{{Z}}\: \\ $$

Commented by mathlove last updated on 19/Feb/22

How?

$${How}? \\ $$

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