Inverse Trigonometric FunctionHard
Question
If sin-1x + sin-1y + sin-1z = 
, the value of x100 + y100 + z100 - 
is -
, the value of x100 + y100 + z100 - is -Options
A.0
B.1
C.2
D.3
Solution
sin-1x + sin-1y + sin-1z = 
only when sin-1x = sin-1y = sin-1z =
sin-1x ∈
then x = sin
= ⇒ x = y = z = 1
1 + 1 + 1 -
= 3 - 9/3 = 0
only when sin-1x = sin-1y = sin-1z =
sin-1x ∈
then x = sin
= ⇒ x = y = z = 11 + 1 + 1 -
= 3 - 9/3 = 0Create a free account to view solution
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