if sin^-1x+sin^-1y+sin^-1z=3pi/2then the value of x^2+y^2+z^2-3/(x+y+z) is
tina , 5 Years ago
Grade 12
Trigonometry> if sin^-1x+sin^-1y+sin^-1z=3pi/2then the ...
1 Answers
Arun
Last Activity: 5 Years ago
Dear Tina
there is only one case exist as when sin^-1 x = sin^-1 y = sin^-1 z = pi/2
hence x = y = z = 1
hence
(x^2 + y^2 + z^2) – 3/(x+y+z) = 3 – (3/3) = 3 – 1 = 2
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