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Question Number 77178 by jagoll last updated on 04/Jan/20

  given cos^(−1) (x)+cos^(−1) (y)+cos^(−1) (z)=π  and x+y+z=(3/2)  prove that x = y = z .

$$ \\ $$$${given}\:\mathrm{cos}^{−\mathrm{1}} \left({x}\right)+\mathrm{cos}^{−\mathrm{1}} \left({y}\right)+\mathrm{cos}^{−\mathrm{1}} \left({z}\right)=\pi \\ $$$${and}\:{x}+{y}+{z}=\frac{\mathrm{3}}{\mathrm{2}} \\ $$$${prove}\:{that}\:{x}\:=\:{y}\:=\:{z}\:. \\ $$

Answered by john santu last updated on 04/Jan/20

Commented by jagoll last updated on 04/Jan/20

thanks you

$$\mathrm{thanks}\:\mathrm{you} \\ $$

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