已知cos(a+π/4)=3/5, π/2≤a≤3π/2, 求cos(2a+π/4)的值
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/27 15:55:15
已知cos(a+π/4)=3/5,π/2≤a≤3π/2,求cos(2a+π/4)的值已知cos(a+π/4)=3/5,π/2≤a≤3π/2,求cos(2a+π/4)的值已知cos(a+π/4)=3/5
已知cos(a+π/4)=3/5, π/2≤a≤3π/2, 求cos(2a+π/4)的值
已知cos(a+π/4)=3/5, π/2≤a≤3π/2, 求cos(2a+π/4)的值
已知cos(a+π/4)=3/5, π/2≤a≤3π/2, 求cos(2a+π/4)的值
π/2≤a≤3π/2
cos(a+π/4)=3/5>0
a+π/4>3π/2
3π/2
由1/2<3/5<√2/2且π/2≤α≤3π/2得
5π/3<α+π/4<7π/4,即17π/12<α<3π/2
cos(α+π/4)=cosαcos(π/4)-sinαsin(π/4)
=(√2/2)(cosα-sinα)=3/5
故cosα-sinα=3√2/5,平方得
cos²α-2cosαsinα+sin²α=18/25...
全部展开
由1/2<3/5<√2/2且π/2≤α≤3π/2得
5π/3<α+π/4<7π/4,即17π/12<α<3π/2
cos(α+π/4)=cosαcos(π/4)-sinαsin(π/4)
=(√2/2)(cosα-sinα)=3/5
故cosα-sinα=3√2/5,平方得
cos²α-2cosαsinα+sin²α=18/25,即
sin2α=7/25,再由17π/6<2α<3π,得cos2α=-24/25,故
cos(2α+π/4)=cos2αcos(π/4)-sin2αsin(π/4)
=(√2/2)(cos2α-sin2α)=-31√2/50
收起
31√2/50
已知cos(a+b)=4/5,cos(a-b)=-4/5,3π/2
.已知Cos(a+b)=4/5,cos(a-b)= -4/5,3/2π
已知cos(a+π/4)=3/5,π/2
已知cosa=-4/5,a是第二象限角,求cos(a+π/3)和cos(a-π/3).
急::已知sin(3π+a)=2cos(a-4π),求(5sin(π/2+a)+cos(π/2-a))/(2cos(π+a)-sin(-a))的值已知sin(3π+a)=2cos(a-4π),求(5sin(π/2+a)+cos(π/2-a))/(2cos(π+a)-sin(-a))的值在线 急求帮助! 有答必采~~~~
已知sin(3π+a)=1/4,求[cos(π+a)]/{cosa[cos(π+a)-1]}+[cos(a-2π)]/[cos(a+2π)cos(π+a)+cos(-a)]的值要具体过程
已知cos(π-a)*cos(3π/2+a)=-1/8,且π/4
已知cos(a+π/4)=1/3,0
已知sin(a-π)=2cos(2π-a),求(sin(π-a)+5cos(2π-a))/(3cos(π-a)-sin(-a))的值.
已知sin(a-π)=2cos(2π-a),求sin(π-a)+5cos(2π-a)/3cos(π-a)+sin(-a)的值.
已知cos(a+?π)=3/5,π/2≤a<3π/2.求cos2a.更改:已知cos(a+π/4)=3/5
已知3sin(π +a)+cos(-a)/4sin(-a)-cos(9π +a)=2,求tana的值
已知cos(π/4-a)=-3/5,π/2≤a≤π,求cosa
已知sina =3/5 a∈(π/2,π) 求cos(π/4-a)
已知(sin a+sin 2a+ sin3a)/(cos a+cos 2a+cos 3a)=-4/tana.且π
三角函数计算的已知cos(a+π/4)=3/5,π/2≤a
已知sin^4a-cos^4a=-3/5,3π/2
已知a为锐角,且cos(a+π/4)=3/5,则cosa=?