Cos−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

Question

Cos​​−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

Arun · Answer

Dear student we proceed with reverse side x = y = z then 3 cos^-1 x = pi cos^-1 x = pi/3 x = ½ hence y = z= ½ hence x + y + z = 3/2

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Cos−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

Cos−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

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Cos​​−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

Cos​​−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

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Cos−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z

Cos−1x+cos−1y+cos−1z =π and x+y+z =3/2 then prove that x=y=z