- #1

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## Homework Statement

Show that sec(x-(pi/2))+tan(x-(pi/2))=tan((x/2)+pi/12))

## The Attempt at a Solution

I applied all sorts of half angle formulas to convert it in terms of tan, I got LHS as (tan((x/2)-(pi/6))+1)^2/1-tan^2(x/2-(pi/6)) but I'm sure there must be a simple easy method to get the RHS (PS this is part of a bigger problem, I got the answer as LHS, I need to equate it to RHS for my answer to be correct