if cos-1x+cos-1y+cos-1z=pi and x+y+z=3/2 prove that x=y=z Please give me a proper method of solving this question, DONT assume - Maths - Inverse Trigonometric Functions

Question

if cos-1x+cos-1y+cos​-1z=pi and x+y+z=3/2 prove that
x=y=z

Please give me a proper method of solving this question, DONT
assume x=y=z and then solve
Properly solve using the given conditions and NOT the other way
round

Please answer this question, this is the 4th time I am asking

Decoder_6 · Accepted Answer

if cos-1x+cos-1y+cos​-1z=pi and x+y+z=3/2 prove that x=y=z Please give me a proper method of solving this question, DONT assume x=y=z and then solve Properly solve using the given conditions and NOT the other way round Please answer this question, this is the 4th time I am asking

if cos-1x+cos-1y+cos-1z=pi and x+y+z=3/2 prove that x=y=z

Please give me a proper method of solving this question, DONT assume x=y=z and then solve
Properly solve using the given conditions and NOT the other way round

Please answer this question, this is the 4th time I am asking