Trigonometric EquationHard

Question

If 0 < x < 1, then [{x cos(cot^-1x) + sin(cot^-1x) + sin(cot^-1x)}² - 1]^1/2 is equal to

Options

A.

B.x

C.

D.

Solution

[(x cos cot^-1x + sin cot^-1x)² - 1]^1/2
=

= (x² + 1 - 1)^1/2 = x

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