2(√6+√2)[sinA+sin(150-A)]得4(√6+√2)*sin75cos(A-75)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 03:34:41
2(√6+√2)[sinA+sin(150-A)]得4(√6+√2)*sin75cos(A-75)

2(√6+√2)[sinA+sin(150-A)]得4(√6+√2)*sin75cos(A-75)
2(√6+√2)[sinA+sin(150-A)]

4(√6+√2)*sin75cos(A-75)

2(√6+√2)[sinA+sin(150-A)]得4(√6+√2)*sin75cos(A-75)
sinA+sinB=2sin[(A+B)/2]cos[(A-B)/2]

sinA+sin(150-A)
=2sin75*cos(75-A)
=2sin(30+45)*cos(A-75)
=2[sin30cos45+cos30sin45]*cos(A-75)
=2[√2/4+√6/4]*cos(A-75)
=(√2+√6)/2*cos(A-75)
所以:2(√6+√2)·[sinA+sin(150-A)]
=2(√6+√2)(√2+√6)/2*cos(A-75)
=(√2+√6)^2*cos(A-75)
=(8+4√3)cos(A-75)

【参考答案】

2(√6+√2)[sinA+sin(150-A)]
=2(√6+√2)×2sin75°cos(A-75°)
=4(√6+√2)×(1/4)(√6+√2)cos(A-75°)
=(8+4√3)cos(A-75°)

积差化和公式

2(√6+√2)[sinA+sin(150-A)]得4(√6+√2)*sin75cos(A-75) √3sinA+cosA=2sin(A+π/6) 怎么变换过来的 sinA=3sin(2π/3-A) SINA=?sinA=3sin(2π/3-A) SINA=?答案是-3√3cosA √(2sin^a-2sina+cos^a)化简 为啥sina+cosa=√2sin(a+π/4) 三角函数!化简!√3SinA-CosA-1=0怎么从√3SinA-CosA-1=0到 Sin(A-π/6)=1/2 在△ABC中,已知sin^2B-sin^2C=sinA(√2sinB-sinA),求角C sinθ+sinα=2sin(θ+α)/2cos(θ-α)/2 求证相等.这个怎么计算啊:sina cosa-√3/3sin²a=.(1/2sin2a-√3/6(1-cos2a)) 已知sin(a+派/3)+sina=-(4根号3)/5,-派/2 已知sin(a+派/3)+sina=-(4根号3)/5,-派/2 为什么cosa-sina=(√2)sin(π/4-a)谢谢大家 请问 ,cosa-sina是怎么=√2sin(a+兀/4)的? 为什么:sinA -√3cosA=2sin(a-π/3)? 高中数学 三角函数的转换sina- cosa如何化成√2 sin(a-π/4) sina+cosa=1/5、sin²a+cos²a=1,=>sin²a+(1/5-sin²a)=1,=>sin²a+(1/5-sin²a)=1sin²a-(2/5)sina+(1/25)+sin²a=12sin²a-(2/5)sina-(24/25)=025sin²a-5sina-12=0(5sina+3)(5sina-4)= 设角a=-35π/6,则2sin(π+α)cos(π-α)-cos(π+α)/ 1+sin^2α+sin(π-α)-cos^2(π+α)sina=sin(-35π/6)=sin(-6π+π/6)=1/2 cosα=根号3/22sin(π+α)cos(π-α)-cos(π+α)/ [1+sin^2α+sin(π-α)-cos^2(π+α)]=2(-sinα)(-cosα)+cosα/[1+sin² √2(cos^2a-sin^2a)/(sina-cosa)=-2√2/2,则cosa+sina=? sinA-cosA=1/2,则sin^3A-cos^3A=______.sinA-cosA=1/2,则sin^3A-cos^3A=______.sin^3A-cos^3AY=为什么等于(sinA-cosA)(sin^2+sinAcosA+cos^2A).