# What is the equation of the line that is normal to #f(x)= ln(sin^2x) # at # x=(4pi)/3 #?

The equation of the line normal to the curve

In our case:

and

So the normal line is:

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The equation of the line that is normal to f(x) = ln(sin^2x) at x = (4pi)/3 is y = -√3(x - (4pi)/3) + ln(sin^2((4pi)/3)).

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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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