Answer to Question #73144 in Trigonometry for Kingshuk Kapuri

Question #73144

Arc cosx + arc cosy + arc cosz = π and if; x+y+z=3/2 then show that x=y=z

Expert's answer

Range of arccos(a) is [0,π ], the domain consists of values a from[-1,1]. But π = π/ 3+π/3+π/3 and arccos(π/3) = 1/2,in this case if x+y+z = 3/2, then x=y=z.

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