已知sina=-2cosa,求sin^2a+5sina*cosa+2cos^2a的值

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已知sina=-2cosa,求sin^2a+5sina*cosa+2cos^2a的值

已知sina=-2cosa,求sin^2a+5sina*cosa+2cos^2a的值
已知sina=-2cosa,求sin^2a+5sina*cosa+2cos^2a的值

已知sina=-2cosa,求sin^2a+5sina*cosa+2cos^2a的值
sina=-2cosa
sina+2cosa=0
sin^2a+4sina*cosa+4cos^2a=0
1.25sin^2a+5sina*cosa+5cos^2a=0
sin^2a+5sina*cosa+2cos^2a
=(1.25sin^2a+5sina*cosa+5cos^2a)-0.25sin^2a-3cos^2a
=-0.25sin^2a-3cos^2a
sina=-2cosa
sin^2a=4cos^2a
sin^2a+cos^2a=1
sin^2a=0.8,cos^2a=0.2
sin^2a+5sina*cosa+2cos^2a
=-0.25sin^2a-3cos^2a
=-0.8