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**[SOLVED] Interpretation of Trig Expression**

## Homework Statement

Question: Sin xy = y, find dy/dx. This was given as Homework.

I did the question as Sin (xy) = y, whereas my teacher took the question as (Sin x)y = y and made a joke out of me in the class for thinking otherwise. All I want to know is which way should the question be interpreted.

## Homework Equations

Sin xy = y

## The Attempt at a Solution

Taking my interpretation of Sin xy = y as Sin (xy) = y, the differentiated equation I get is:

dy/dx = (-y Cos xy)/(x Cos xy - 1)

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