Algo and Math

equazione trigonometrica. 81^(sin^2 x) + 81^(cos^2 x) = 30

81^[1-cos²x]+81^cos²x-30=0
81^[cos⁴x]-30*81^[cos²x]+81=0
81^[cos²x]=3; 81^[cos²x]=27
cos²x=1/4; cos²x=3/4
cosx=±1/2 ;cosx=±√3/2;
X=±π/3+ kπ ; X=±π/6+ kπ

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