In case you’re wondering, the previous trigonometry proving question here was just a warm-up. This then, guys and gals, is the real deal. If you can prove this, you are A1/A-List/Elite (or whatever honour our society decides to bestow upon you) student material and Miss Loi will kneel down and kow-tow to you!
Just joking lah – Miss Loi’s poor tender forehead will become blue-black if this happens!
Prove the following trigonometric identity:
![\[ \frac{\tan x+\sec x-1}{\tan x-\sec x+1} \equiv \sec x+\tan x \]](https://www.exampaper.com.sg/blog/wp-content/ql-cache/quicklatex.com-e3d853c4e8b5b7bcb0f0a250eab982f5_l3.png "Rendered by QuickLaTeX.com")
P.S. If you’re (predictably) stuck, think of how you rationalize your surds. If it’s of any comfort to you, Miss Loi was stumped too when she first saw this 😛
