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Question

For all real values of x, cot x - 2 cot 2x is equal to


A

tan 2x

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B

tan x

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C

-cot 3x

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D

none of these

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Solution

The correct option is B

tan x


We have,

cot x - 2 cot 2x = cot x - 2 cot2 x12 cot x

=cot2 xcot2 x+1cot x=1cot x
=tan x


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