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If y=(log)(sinx)(tanx),t h e n(((dy)/(dx...

If `y=(log)_(sinx)(tanx),t h e n(((dy)/(dx)))_(pi/4)"is equal to"` (a)`4/(log2)` (b) `-4log2` (c)`(-4)/(log2)` (d) none of these

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`y=ln(tanx)/ln(sinx)`
`dy/dx=(lnsinx xx sec^(2)x/tanx - lntanx xx cosx/sinx)/((lnsinx)^2)`
`dy/dx at x=pi/4=``(ln1/sqrt2xx 2-0)/(ln(1/sqrt2)^2`=`-4/lnsqrt2`
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