若 cos2a/sin(a-π/4)= -√2/2,求cosa+sina的值.
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 06:55:45
若cos2a/sin(a-π/4)=-√2/2,求cosa+sina的值.若cos2a/sin(a-π/4)=-√2/2,求cosa+sina的值.若cos2a/sin(a-π/4)=-√2/2,求c
若 cos2a/sin(a-π/4)= -√2/2,求cosa+sina的值.
若 cos2a/sin(a-π/4)= -√2/2,求cosa+sina的值.
若 cos2a/sin(a-π/4)= -√2/2,求cosa+sina的值.
cos2a/sin(a-π/4)= -√2/2,
sin(π/2-2a) /sin(a-π/4)= -√2/2,
-sin(2a-π/2) /sin(a-π/4)= -√2/2,
[-2 sin(a-π/4)cos(a-π/4)) /sin(a-π/4)= -√2/2,
-2 cos(a-π/4))= -√2/2,
-2[cos a cosπ/4+sin a sinπ/4] = -√2/2,
-√2(cosa+sina) = -√2/2,
所以cosa+sina=1/2.
=1/2
cos(2a)/sin(a-π/4)=[(cos a)^2-(sin a)^2]/(sin a-cos a)=-(cos a+sin a)
故cosa+sina=√2/2
麻烦!
2分之1 你先换乘法 然后打开 把cos2a换成cosa平方-sina的平方 在消同类项 就行了
若sin(a-π/4)/cos2a=-根号2,则sina+cosa=
若cos2a/sin(a-π/4)=-√2/2,则cosa+sina等于多少?
若cos2a/sin((a-(π/4))=-(√2)/2,则cosa+sina的值为
若 cos2a/sin(a-π/4)= -√2/2,求cosa+sina的值.
若((cos2a)/(sin(a+(π/4))))=-√2/2则cosa-sina的值是
证明:2sin(π/4+a)sin(π/4-a)=cos2a
求证:2sin(π/4+a)sin(π/4-a)=cos2a
sin(π/4+a)sin(π/4-a)=1/6求cos2a
若a∈(π/2,π),3cos2a=sin(π/4-a),则sin2a的值
若a(0,π/2),且sin^2 a+cos2a=1/4 则tana的值等于
若a属于(0,π/2),且sin²a+cos2a=1/4,则tana的值等于
tan(a+π/4)=2,则cos2a+3sin^2a+tan a=
若cos2a=a,则sin*4a+cos*4a=?
已知sin(a-π)=3/5,求cos2a
sin(a-π)=3/5求cos2a的值
已知cos2a=1/4,则sin^2 a=?
已知cos2a=1/4,则sin^2 a=
已知sin(π/4+a)+cos(π/4-a)=1/5,则cos2a