Question
Perform the multiplication and use the fundamental identities to simplify.$$(\tan x+\sec x)(\tan x-\sec x)$$
Step 1
Step 1: First, we apply the FOIL method (First, Outer, Inner, Last) to the expression $(\tan x+\sec x)(\tan x-\sec x)$: \begin{align*} &= \tan^2 x - \sec x \tan x + \sec x \tan x - \sec^2 x \\ &= \tan^2 x - \sec^2 x \end{align*} Show more…
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