# Simple trigonometric simplification

• Krushnaraj Pandya

Gold Member

## 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

## 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

If you plot both sides you will see that the equation you wrote is not correct.

Here is a piece of advice: always try plotting first, before attempting to prove an unfamiliar result; sometimes you can save yourself hours of useless work by doing that.

scottdave
If you plot both sides you will see that the equation you wrote is not correct.

Here is a piece of advice: always try plotting first, before attempting to prove an unfamiliar result; sometimes you can save yourself hours of useless work by doing that.
right, got it. I'll need to post the entire question then