(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There are infinitely many points on the curve y = [tex]\frac{sin x}{\sqrt{2}- cos x}[/tex] at which the tangent line to this curve is horizontal. Find the x- and y-coordinates of one such point.

2. Relevant equations

y' = slope of the tangent line

Etc., etc.

3. The attempt at a solution

I know you have to take the derivative of the given equation, and at first, I tried using the quotient rule, but I got nowhere with that. Then I tried rationalizing the [tex]\sqrt{2}[/tex], but that didn't really get me anywhere either. I also have no idea how to find the x- and y-coordinates.

All help is greatly appreciated!

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# Homework Help: Tangent Line and Coordinates of Trigonometric Function

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