How do you simplify tan(x)/sec(x) ?

2 Answers
Deepak G.
Jul 31, 2016

=sinx

Explanation:

tanx/secx
=(tanx)(cosx)
=((sinx)(cosx))/cosx
=sinx

Jim G.
Jul 31, 2016

sinx

Explanation:

Using color(blue)"trigonometric identities"

color(orange)"Reminder"

color(red)(|bar(ul(color(white)(a/a)color(black)(tanx=(sinx)/(cosx)" and " secx=1/(cosx))color(white)(a/a)|)))

rArr(tanx)/(secx)=((sinx)/(cosx))/(1/(cosx))=(sinx)/cancel(cosx)xxcancel(cosx)/1=sinx

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