Complete the identity?

Question

$((tanx+1)(tanx+1)-sec^2x)/tanx = ?$

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Answer 1 · 2018-05-28T04:20:25

$((tanx+1)(tanx+1)-sec^2x)/tanx$

$=((tan^2x+1+2tanx)-sec^2x)/tanx$

$=(sec^2x+2tanx-sec^2x)/tanx$

$=(2tanx)/tanx=2$

Answer 2 · 2018-05-28T04:26:13

$color(blue)(=> 2$

$((tan x + 1) * ( tan x + 1) - sec ^2 x) / tan x$

$=>( tan x + 1)^2 - sec^2 x)/ tan x$

$=> (color(crimson)(cancel(tan ^2x + 1))+ 2tan x - color(crimson)cancel(sec ^2 x)) / tan x$ as

$color(purple)(1 + tan ^2 x = sec ^2 x$ , identity

$=>(2 cancel(tan x)) / cancel(tan x)$

$color(blue)(=> 2$