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Question

tan(π4+12cos1x)+tan(π412cos1x),x0, is equal to

A
x
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B
2x
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C
2x
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D
noneofthese
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Solution

The correct option is C 2x
Let 12cos1(x)=A
Therefore simplifying the above expression, we get
1tanA1+tanA+1+tanA1tanA

=2(1+tan2A)1tan2A

=2cos2A

=2cos(cos1(x))

=2x

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