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sinA+cosA²=1+2sinAcosA=1/25 2sinAcosA=-24/25sinA-cosA²=1-2sinAcosA =49/25sinA-cosA=7/5-7/5 Aʣ0УsinA0sinA=4/5cosA=-3/5 һʾͲ˵ʣ=sin²A³+(cos²A³ =sin²A+cos²Asin²A²+cos²A²-sin²Acos²A =sin²A²+cos²A²-sin²Acos²A =sin²A+cos²A²-3sin²Acos²A =-3sin²Acos²A =-432/625 žˣĻҪŶ
1.sinA+cosA=1/5.(sinA)^2+(cosA)^2=1,A(0,pai), .sinA=4/5.sinA=-3/5tanA=.sinA/.sinA=-4/3(sin^6)A+(cos^6)A=(4^6+3^6)/5