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Numerade Educator

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Problem 23 Easy Difficulty

Find an equation of the tangent line to the curve at the given point.

$ y = $ cos $ x - $ sin $ x, (\pi, - 1) $

Answer

$$y-(-1)=1(x-\pi) \text { or } y=x-\pi-1$$

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Video Transcript

it's layers of a new married here. So we have y is equal to co sign checks minus sign. Thanks. Sure, if it is gives us negative sign minus co sign. So we're gonna plug in Xs equal to pi, which gives us two slope of detention. This gives us one. So using the point slope formula, we get wine minus negative. One over X minus pi was equal to one. So I get why is equal to us minus pi minus one.