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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