若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/22 18:31:28
若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2

若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0
若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0

若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0
2sin(π/4+α)=√2(sina+cosa)
√2(sina+cosa)=sinθ+cosθ 将这个式子平方,得
2(1+sin2a)=1+sin2θ 2sin2β=sin2θ
2(1+sin2a)=1+2sin2β
2+2sin2a=1+2sin2β
sin2α+1=2sin2β
所以
(sin2α+1)/2sin2β=1

若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0. 若2sin(π/4+a)=sinθ+cosθ,2sin^2β=sin2θ,求证sin2a+(1/2)cos2β=0 sin(-19π/6)=?已知[3Sin(π+a)+Cos(π-a)]/4Sin(-a)-Sin(5π/2+a)=2,求tan a 已知sin(a+π/4)sin(a-π/4)=1/3,若π/2 若sin(θ/2)=4/5,且sinθ sinθ/(1+sinθ)-sinθ/(1-sinθ) 若tanθ=根号2 则原式= [sin(a-6π)cos(7π/2-a)]/[sin(3π+a)+sin(a-π)】= 若(sinθ+cosθ)/(sinθ-cosθ)=2,则sin(θ-5π)*sin(3π/2-θ)等于? 2(sin a)^2+(2sin a*cos a)/(1+tan a)=k试用k表示sin a-cos aa∈(π/4,π/2) 3 在三角形ABC中,已知(a2+b2)sin(A-B)=(a2-b2)sin(A+B) 求证:ABC是等腰或直角三角形(a^2+b^2)sin(A-B)=(a^2-b^2)sin(A+B),(sin^A+sin^B)sin(A-B)=(sin^A-sin^B)sin(A+B) sin^A*(sin(A+B)-sin(A-B))=sin^B*(sin(A-B)+sin(A+B)) sin^A*2c 已知tanθ=(sin α-cos α)/(sin α+cos α) a,θ(0,π/2) 求证cos(3/2兀+ α) -sin(5π/2-α)=根号2sin(θ-4π) sin(a-2π)=sin【-(2π-a)】=-sin(2π-a)=-sina对不对 为什么? sin(π/4+a)sin(π/4-a)=sin(π/2+2a)这步是什么公式?RT 化简sin(4π-a)*sin(5π-a)=? (cos a)^4+(sin a)^2*(sin a)^2+(sin a)^2=? cosA+cos^2A=1,sin^2A+sin^4A+sin^8A 化简sin(π+a)cos(π-a)tana/cos(π/2+a)sina 求值,若sinθ+2cosθ=0.求3sinθ-2cosθ/2cosθ-...化简sin(π+a)cos(π-a)tana/cos(π/2+a)sina求值,若sinθ+2cosθ=0.求3sinθ-2cosθ/2cosθ-sinθ的值要详细的过程在线 在△ABC中,求证;sin^(A/2)+sin^(B/2)+sin^(C/2)=1-2sin(A/2)sin(B/2)sin(C/2)