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Step-by-step explanation:
cos x)
y
=(cos y)
x
Taking log on both sides, ylncos x=xlncos y
Differentiating both sides w.r.t x, we get
dx
dy
×lncos x+y×
cos x
−sin x
=lncos y+x×
cos y
−sin y
×
dx
dy
∴
dx
dy
=
lncos x+xtan y
lncos y+ytan x
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