easy trigonometry
Geometry
Level
1
if cos^2x+cos^2y+cos^2z=1 and x=y=z what is the value of y
cos^-1(sqrt(1/3))
cos^-1(1/3)
sin^-1(1/3)
sin^-1(sqrt1/3)
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1 solution
given x=y=z
cos^2(x)+cos^2(y)+cos^2(z)=1
i.e, 3cos^2(y)=1
cos^2(y)=1/3
cosy=sqrt(1/3)
y=cos^-1(sqrt(1/3)