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What's the definition of \(\sec x\)?

cosx

No. Why would we need a different name if it is the same?

oh oops. its 1/cosx

There we go. So what if you substitute 1/cos x in to the equation, what do you get?

1/cosx - cosx = tanxsinx

Okay, can you make a common denominator and combine 1/cos x - cos x?

now: (1-cos^2x)/cosx

okay, does that numerator look like any of your trig identities?

yes but i cant remember what that is equivalent to

rats, left out a '('!
\(x^2+y^2=1\)

thank you so much!