Answer:
-cot(x)
Step-by-step explanation:
tanx-(sec^2x / tanx)
Lets get a common denominator of tan
tan x * tan x/ tan -sec ^2 x/ tan x
tan ^2 x - sec ^2 x
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tan x
We know than sec^2 - tan^2 =1 (trig identity) so factor out -1
-1(-tan ^2 x + sec ^2 x)
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tan x
-1(1)
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tan x
-1
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tan (x)
We know 1/ tan x = cot (x)
- cot(x)
