化简sin^6a+cos^6+3sin^2acos^2a的结果是?

来源：学生作业帮助网编辑：作业帮时间：2024/05/04 02:15:20

化简sin^6a+cos^6+3sin^2acos^2a的结果是?
化简sin^6a+cos^6+3sin^2acos^2a的结果是?

化简sin^6a+cos^6+3sin^2acos^2a的结果是?
sin^6α+cos^6α+3sin^2αcos^2α
=(sin^2a)^3+(cos^2a)^3+3sin^2αcos^2α
=(sin^2a+cos^2a)(sin^4a-sin^2acos^2a+cos^4a)+3sin^2αcos^2α
=sin^4a-sin^2acos^2a+cos^4a+3sin^2αcos^2α
=sin^4a+2sin^2acos^2a+cos^4a
=(sin^2a+cos^2a)^2
=1

原式=(sin²a+cos²a)(sin^4a-sin²acos²a+cos^4a)+3sin²acos²a
=1×(sin^4a-sin²acos²a+cos^4a)+3sin²acos²a
=sin^4a-sin²acos²a+cos^4a+3sin²acos²a
=sin^4a+2sin²acos²a+cos^4a
=(sin²a+cos²a)²
=1²
=1

[Sin(6π+a)Cos(7π-a)]/[Sin(3π+a)+Sin(-π+a) 化简cos(π/3+a)+sin(π/6+a) 化简:cos(π/3+a)+sin(π/6)+a= 化简sin^6a+cos^6+3sin^2acos^2a的结果是? 化简1-sin^4a-cos^4a/1-sin^6a-cos^6a 1-sin^6a-cos^6a分之1-sin^4a-cos^4a 化简 sin^6 a＋cos^6 a＋3×sin^2 a×cos^2 a=? 化简：(sin^6a+cos^6a-1) / (sin^4ª+cos^4a-1) 2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)mingbaidian 2(sin^6 α +cos^6α)-3(sin^4a+cos^4α) 由cos(a+b)=cos a cos b-sin a sin b cos(a-b)=cos a cos b+sin a sin b解题设a为锐角,证：1、2分之根3乘cos a + 2分之1乘sin a=cos(6分之π-a)2、cos a-sin a=根号2cos(4分之π+a) 化简1-cos^4a-sin^4a/1-cos^6-sin^6acos^6应为cos^6a 已知(4sin a－2cos a)／(5cos a +3sin a)=6/11,求cos＾4 a－sin＾4 a [sin(a-6π)cos(7π/2-a)]/[sin(3π+a)+sin(a-π）】= sin^6 a+cos^6 a+3sin^2 acos^2a=(sin^2 a+cos^2 a)(sin^4 a+cos^4 a-sin^2 acos^2 a)是如何计算出的化简(1-sin^6 a-cos^6 a)/(cos^2 a-cos^4 a)== 化简sina^8-cosa^8-sin^6a+cos^6a+sin^4a 化简sinα^6+cosα^6+3sinα^2cosα^2的结果是