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Logarithmic differentiation: y=theta+8/theta *costheta

I don't get how tank theta shows up I the answer.

Please explain

Logarithmic differentiation: y=theta+8/theta *costheta I don't get how tank theta-example-1
User Mamie
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1 Answer

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y=Ф + 8/(ФcosФ) ==> note that

dy/dФ = 1 - 8/[(ФcosФ)]² x (-8sinФ) ==> dy/dФ = 1+[(64sinФ)/Фcos²Ф]

==> dy/dФ = 1+ 64tanФ/Ф or dy/dФ = (Ф+tanФ)/Ф
User Cami Rodriguez
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