Pre-Cal

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Perform the addition or subtraction and use the fundamental identities to simplify.

tan x - sec^2 x / tan x

I do not know where to start.

• Pre-Cal -

The way you typed it ....

tan x - sec^2 x / tan x
= tanx - (1/cos^2x)(c0sx/sinx+
= tanx - 1/(sinxcosx)
= tanx - cscxsecx

• Pre-Cal -

Hannah,
if you continue by substituting sin and cos for the tan,csc and sec functions, you can simplify further. This will be left as an exercise for yourself.

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