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Explanation:
sec x tan x
Multiply and divide by cos x + cot x.
sec x tan x (cos x + cot x) / (cos x + cot x)
Distribute numerator.
(sec x tan x cos x + sec x tan x cot x) / (cos x + cot x)
Simplify.
(tan x + sec x) / (cos x + cot x)
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