# What is the equation of the tangent line of #r=cos(theta+(5pi)/4) * sin(theta-(17pi)/12)# at #theta=(-5pi)/12#?

Equation of tangent is

In polar coordinates

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To find the equation of the tangent line of ( r = \cos\left(\theta + \frac{5\pi}{4}\right) \cdot \sin\left(\theta - \frac{17\pi}{12}\right) ) at ( \theta = -\frac{5\pi}{12} ), you first find the derivative of ( r ) with respect to ( \theta ), evaluate it at ( \theta = -\frac{5\pi}{12} ) to get the slope of the tangent line, and then use the point-slope form of the equation of a line to find the equation of the tangent line.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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