# What is the equation of the normal line of #f(x)= cscx# at #x = pi/8#?

We could find these decimals, but we can also find the exact values.

I like to use the double angle formulas:

So:

Then:

Then the normal line becomes:

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The equation of the normal line of f(x) = csc(x) at x = pi/8 is y = -cot(pi/8)(x - pi/8) + csc(pi/8).

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