若a为锐角,若cos(a π除以6)=五分之四
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(sina-cosa)^2=(sina)^2+(cosa)^2-2sinacosa所以2sinacosa=1-(1/4)=3/4原式=(sina-cosa)[(sina)^2+(cosa)^2+sin
ab均为锐角cos(a+b)=3/5cosa=4/5cosacosb-sinasinb=3/5sia=3/54/5.cosb-3/5.sinb=3/54cosb-3sinb=3又cos^2b+sin^
/>a是锐角π/2
用二倍角公式再问:答案。我知道公式不会写再答:我拍给你再答:再答:希望采纳
作图y=sinay=ay=tana在同一坐标系中作出这三条曲线,即可判断大小
a为锐角,cos(a+π/6)=4/5所以,sin(a+π/6)=3/5sin(2a+π/3)=2sin(a+π/6)cos(a+π/6)=2×(3/5)×(4/5)=24/25cos(2a+π/3)
设b=a+π/6,sinb=3/5,sin2b=2sinbcosb=24/25,cos2b=7/25sin(2a+π/12)=sin(2a+π/3-π/4)=sin(2b-π/4)=sin2bcosπ
cos(2a+π/3)=2cos²(a+π/6)-1=7/25a为锐角,则:2a+π/3∈(π/3,π/2)∴sin(2a+π/3)=24/25sin(2a+π/12)=sin[(2a+π/
50分之17倍根号2
a为锐角,cos(a+π/6)=3/5则:sin(a+π/6)=4/5sin(a-π/12)=sin[(a+π/6)-π/4]=sin(a+π/6)cos(π/4)-cos(a+π/6)sin(π/4
sin(2a+π/12)=sin【2(a+π/6)—π/4】=sin2(a+π/6)cos(π/4)—cos2(a+π/6)sin(π/4)因为cos(a+π/6)=4/5,a为锐角,所以0
设A+π/6=α,则2A+π/12=2α-π/4cosα=4/5,α为锐角,sinα=3/5,所以sin2α=2sinαcosα=24/25,cos2α=2(cosα)^2-1=7/25sin(2A+
a为锐角,cos(a+π/6)=3/5则:sin(a+π/6)=4/5sin(a-π/12)=sin[(a+π/6)-π/4]=sin(a+π/6)cos(π/4)-cos(a+π/6)sin(π/4
题目有错吧.a为锐角时,cos(a+派/2)的值必须是负数.如果是-4/5的话,cos(a+派/2)=-4/5推出sina=4/5,则sosa=3/5sin(2a+派/12)=sin2a*cos派/1
cosA=√(1-sin²A)=√(1-1/9)=2√2/3cos(90º-A)=sinA=1/3
设sina-cosa=t则2sinacosa=1-t^21-t^2+(1/3)t=13t^2-t=0t=0或t=1/3sinacosa=1/2或4/9tana+cota=1/sinacosa=9/4t
a∈(0,90)a+30∈(30,120)sin(a+30)>0sin(a+30)=3/5sin(2a+60)=2sin(a+30)cos(a+30)=24/25又cos(a+30)>cos45,a+