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+1 vote
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in Sets, relations and functions by (54.5k points)

If (sin-1x)3 + (sin-1y)3 + (sin-1z)3 = (3π)3/8 then find the value of (3x + 4y - 5z + 2)

1 Answer

+1 vote
by (50.2k points)
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Best answer

Given equation is

(sin-1x)3 + (sin-1y)3 + (sin-1z)3 = (3π)3/8

It is possible only when

sin-1x = π/2 = sin-1y = sin-1z

so, x = 1, y = 1 and z = 1

Hence, the value of(3x + 4y - 5z + 2)

= 3 + 4 - 5 + 2

= 4

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