How do you determine graphically and analytically whether $y_1=sinxsecx$ is equivalent to $y_2=tanx$ ?

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Answer 1 · 2018-02-13T00:36:35

See below.

Identitites

$color(red)bb(secx=1/cosx)$

$color(red)bb(tanx=sinx/cosx)$

$sinxsecx=sinx/cosx=tanx$

The graph of $bb(sinxsecx)$ will be identical to the graph of $bbtanx$ .
We have just proved that:

$sinxsecx-= tanx$

How do you determine graphically and analytically whether y_1=sinxsecxy_1=sinxsecx is equivalent to y_2=tanxy_2=tanx?