Question : Using trigonometric formulas, find the value of $(\frac{\sin (x-y)}{\sin (x+y)})(\frac{\tan x+\tan y}{\tan x-\tan y})$

Option 1: –2

Option 2: 2

Option 3: 0

Option 4: 1

Question : The value of $\sec x - \cos x = $?

Option 1: $\tan x \sin x$

Option 2: $\sec x \tan x$

Option 3: $\tan x \cos x$

Option 4: $\sec x \cos x$

Question : The simplest value of $\sin^{2}x+2\tan^{2}x-2\sec^{2}x+\cos^{2}x$ is:

Option 1: 1

Option 2: 0

Option 3: –1

Option 4: 2