Hi guys, I'm 14, and was just wondering if anyone could help prove this problem on my homework sheet. (1+sec x + tan x)(1 - sec x + tan x) = 2 tan x Thanks
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Originally Posted by HerroDere Hi guys, I'm 14, and was just wondering if anyone could help prove this problem on my homework sheet. (1+sec x + tan x)(1 - sec x + tan x) = 2 tan x Thanks start by expanding the left side of the identity ... then use the identity $\displaystyle 1 + \tan^2{x} = \sec^2{x}$ when collecting terms.
Originally Posted by HerroDere (1+sec x + tan x)(1 - sec x + tan x) = 2 tan x Hint: $\displaystyle (1+\sec(x) + \tan (x))(1 - \sec (x) + \tan( x))$= $\displaystyle (1+\tan(x))^2-\sec^2(x)$
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