# How do I simplify the trigonometric expression? cos(x)/sec(x) + tan(x)

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Noah G
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Feb 7, 2018

#### Answer:

It can be simplified to

#### Explanation:

**I will assume that the question asks #(cosx)/(secx + tanx)#**

Using our fundamental identities of

#cosx/(1/cosx + sinx/cosx)#

#cosx/((1 + sinx)/cosx)#

#cos^2x/(1+ sinx)#

We know that

#(1 - sin^2x)/(1 + sinx)#

#((1 +sinx)(1 - sinx))/(1 + sinx)#

#1 - sinx#

Hopefully this helps!

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Somebody N.
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Feb 7, 2018

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