sin(a+45度)=3/5 求sina的值
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sin(a+45度)=3/5 求sina的值
sin(a+45度)=3/5 求sina的值
sin(a+45度)=3/5 求sina的值
sin(a+45°)=3/5 ,cos(a+45°)=±4/5
sina=sin[(a+45°)-45°]=sin(a+45°)cos45°-cos(a+45°)sin45°=3/5 *根号2/2 -4/5*根号2/2
=-根号2/10
或sina=7*根号2/10
sin a cos45°+cos asin 45°=0.6
sin a+cos a=0.6倍的根号2 等式1
(sin a+cos a)^2=0.72
得 (sin a)^2+(cos a)^2+2sin acos a=0.72
Sin a cos a=-0.14 等式2
得
sin a=0.8倍的根号2 或 -0.1倍的根号2
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sina+cosa=1/5、sin²a+cos²a=1,=>sin²a+(1/5-sin²a)=1,=>sin²a+(1/5-sin²a)=1sin²a-(2/5)sina+(1/25)+sin²a=12sin²a-(2/5)sina-(24/25)=025sin²a-5sina-12=0(5sina+3)(5sina-4)=