How do you simplify $\frac{tan x}{sec x}$ $tanx/secx$ ?

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Answer 1 · 2016-06-19T15:29:53

Use the identities $\frac{sin x}{cos x} = tan x$ $sinx/cosx = tanx$ and $sec x = \frac{1}{cos x}$ $secx = 1/cosx$ .

$= \frac{\frac{sin x}{cos x}}{\frac{1}{cos x}}$ $=(sinx/cosx)/(1/cosx)$

$=sinx/cancel(cosx) xx cancel(cosx)$

$=sinx$

Hopefully this helps!

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