How do you use the fundamental identities to write the expression in terms of a single trig function: $(csc^2 x - cot^2 x)/secx$ ?

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Answer 1 · 2015-05-30T12:20:23

Answer is cos x

One of the fundamental trignometric identities is $1+cot^2 x= csc^2 x$ .

This makes $csc^2x -cot^2 x=1$

The given expression thus becomes $1/secx$ = cos x

How do you use the fundamental identities to write the expression in terms of a single trig function: (csc^2 x - cot^2 x)/secx(csc^2 x - cot^2 x)/secx?