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in Sets, relations and functions by (50.2k points)

Find the number of real solutions of sin-1(x2 - 2x + 1) + cos-1(x2 - x) = π/2

1 Answer

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Best answer

Given equation is

sin-1(x2 - 2x + 1) + cos-1(x2 - x) = π/2

It is true only when

(x2 - 2x + 1) = x2 - x

x = 1

Thus, the number of solutions is 1.

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