已知sin(π-x)-cos(π x)=1-√3 2x是第二象限的脚
来源:学生作业帮助网 编辑:作业帮 时间:2024/10/09 01:22:33
f(x)=cos^2x+sinxcosx=(1+cos2x)/2+1/2*sin2x=1/2+1/2(cos2x+sin2x)=√2/2*(√2/2*cos2x+√2/2sin2x)+1/2=√2/2
=1/2sin2x-sin^2x=12/sin2x-(1-2cos2x)/2=1/2sin2x+1/2cos2x-1/2=√2/2sin(2x+π/4)-1/2(1)T=2π/2=π(2)X属于(-π
1f(x)=√3sinπx+cosπx=2((√3/2)sinπx+(1/2)cosπx)=2sin(πx+π/3)∴最小正周期T=2π/w=2π/π=2值域f(x)∈[-2,2]2-π/2+2kπ<
-cosxtanx再问:根据上题求f(-31π/3)的值再答:上面的答案可化简为-sinxf(-31π/3)=f(-π/3)=-1/2
2sin(x-π/4)sin(x+π/4)=cos(x-π/4-x-π/4)-cos(x-π/4+x+π/4)=-cos2xf(x)=cos(2x-π/3)-cos2x=cos(2x-π/6-π/6)
f(x)=√2sin(2 x-π/4)+2f(x)max=√2+2;此时X=3π/8令(2 x-π/4)∈【-π/2,π/2】,解得x∈【-π/8,3π/8】,因为x∈(0&nbs
∵f(x)=[-sinx(-sinx)cos(π+x)]/[-2cosxsin(π-x)]=[sin²x(-cosx)]/(-2cosxsinx)=1/2sinx∴最小正周期T=2π∴函数图
因为cos(π/2+x)=-sinx,sin(x-π/2)=sin[π-(x-π/2)]=sin(π/2-x)=cosx,由cos(π/2+x)=sin(x-π/2),得:-sinx=cosx.所以[
f(sin(pai/2-x))=cos[3(pai/2-x)]f(cosx)=cos(3pai/2-3x)f(cospai/9)=cos(3pai/2-pai/3)=-sinpai/3=-根号3/2f
(1)∵f(x)=3sinπx+cosπx=2(32sinπx+12cosπx)=2sin(πx+π6),∴函数f(x)的最小正周期T=2ππ=2,又∵x∈R,∴−1≤sin(πx+π6)≤1,∴−2
f(x)=cos(-x/2)+sin(π-x/2)=cosx/2+sinx/2f(a)=cos(a/2)+sin(a/2)=(2√10)/5cos(a/2)+sin(a/2)=(2√10)/5平方1+
f(x)=cos(2x-π/3)-(cos^2x-sin^2x)=cos(2x-π/3)-cos2x=2sin(2x-π/6)sinπ/6=sin(2x-π/6)因为y=sinx的单减区间为[π/2+
(^2)x这是什么啊完全看不懂诶.再问:就是(sinx)^2再答:啊啊懂啦再答:
f(x)=cos(2x-π\3)+sin²x-cos²x=1/2cos2x+√3/2sin2x-cos2x=√3/2sin2x-1/2cos2x=-cos(2x+π\3)-1
根据题意可知:sinx>0cosx
原式=(-sinx*sinx)/(cos(1.5π-x)*sin(4.5π+x))=sinx/cosx=tanx=-3/4
sinx=2cosx,sin^2x=4cos^2xsin^2x=4-4sin^2x,sin^2x=4/5(cosx+sinx)/(cosx-sinx)+sin^2x=(1+tanx)/(1-tanx)
依题有2sin2x=sinθ+cosθsinx的平方=sinθ*cosθ又2sin2x=4sinx*cosxsinθ*cosθ=[(sinθ+cosθ)的平方-1]/2所以有sinx的平方=[(4si
f(x)=2cos(x+π/3)[sin(x+π/3)-√3cos(x+π/3)]=4cos(x+π/3)[1/2sin(x+π/3)-√3/2cos(x+π/3)]=4cos(x+π/3)[sin(
解:⑴f(x)=-1/2+sin(π/6-2x)+cos(2x-π/3)+(cosx)^2=-1/2+sinπ/6cos2x-sin2xcosπ/6+cos2xcosπ/3+sin2xsinπ/3+(