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If log2(sinx)-log2(cos x)-log2(1-tan x)-...

If `log_2(sinx)-log_2(cos x)-log_2(1-tan x)-log_2(1+ tan x)=-1 ` then ` tan 2x =`

A

`-1`

B

`1`

C

`1//2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If log_(2)(sinx)-log_(2)(cosx)-log_(2)(1-tanx)-log_(2)(1+tanx)=-1 then tan2x=

    A
    0
    B
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    C
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    D
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  • If log_(2)sinx-log_(2)cosx-log_(2)(1-tan^(2)x)=-1 then x =

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    B
    `pi//8`
    C
    `3pi//4`
    D
    `-pi//4`

  • If log_(cosx)sinx+log_(sinx)cosx=2 , then x =

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    `pi`
    B
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