化简：sin^2(A-30)+sin^2(A+30)-sin^2A

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 01:43:14

化简：sin^2(A-30)+sin^2(A+30)-sin^2A
化简：sin^2(A-30)+sin^2(A+30)-sin^2A

化简：sin^2(A-30)+sin^2(A+30)-sin^2A
sin^2(A-30)+sin^2(A+30)-sin^2A
=[1-cos(2A-60)]/2+[1-cos(2A+60)]/2+(cos2A-1)/2
=1/2-(cos2Acos60+sin2Asin60)-(cos2Acos60-sin2Asin60)+cos2A
=1/2-2cos2Acos60+cos2A
=1/2

sin^2(A-30)+sin^2(A+30)-sin^2A
=(sin(A-30)+sin(A+30))^2-2sin(A-30)sin(A+30)-4sin^2Acos^2A
=(1/2)sin^2A+(3/2)cos^2A-4sin^2Acos^2A
=4sin^4A-5sin^2A+(3/2)
我有八年没有做过了，可能做错了，呵呵，别见怪哈。

化简sin^(a-30°)+sin^(a+30°)-sin^a化简sin^2(a-30°)+sin^2(a+30°)-sin^2a 化简：sin^2(A-30)+sin^2(A+30)-sin^2A sin^2(-a)化简 化简:sin(-a)cos(2π+a)sin(-a-π) 化简Sin A + Sin 2A / 1+cos A + 化简：sin^2(A-30度）＋sin^2（A＋30度）-sin^2A 化简sin(-A-2派) 化简sin(2π+a) 化简（sin(a-b)-2sin a cos b）/2sin a sin b +coa(a+b) 化简：sin^2a+sin^2(a-180/3)+sin^2(a+180/3) 化简；sin^2 A+sin^2(A-π/3)+sin^2(A+π/3) 化简 sin^2 a+cos a*cos（60+a）-sin^（30-a）= 化简 sin^2 a+cos a*cos（60+a）-sin^（30-a）= (1-sin^4a-cos^4)/(sin^2a-sin^4a) 化简 化简sin^2A+sin^(A-π/3)+sin(A+π/3) 化简sin^2a+sin^2b-sin^2a*sin^2b+cos^2a*cos^2b sin^2a+sin^2b-sin^2a * sin^2b+cos^2a * cos^2b 化简 化简sin^2a+sin^β-sin^2a*sin^2β+cos^2a*cos^β