d/dx cot(sec x+tan x) the result should be in the simplest form.
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= -cosec2((sec x + tan x) sec x. tan x+sec2x
Step-by-step explanation:
y=cot(sec x + tan x)
duff. w. r. t. x
dy/dx=d/dx cot(sec x + tan x)
-cosec2(sec x + tan x) d/dx(sec x + tan x)
= -cosec2((sec x + tan x) sec x. tan x+sec2x
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