Thread: Trig proof/verification help

1. Trig proof/verification help

Hi. Looking for help on another trig proof. Here's the problem.

Prove that:

sec^6x (secx.tanx) - sec^4x (secx.tanx) =sec^5x.tan^3x

This one's got me baffled. Thanks in Advance,
Mike Clemmons

2. What have you tried?

Can I suggest taking out $\sec x \tan x$ as a common factor first on the LHS

so

$(\sec x \tan x)(\sec^6 x- \sec^4 x)$

$(\sec x \tan x)(\sec^4 x(\sec^2 x- 1))$

$(\sec x \tan x)(\sec^4 x(\tan^2 x))$

The rest should be easy...