Match the items in Column A with their corresponding expressions in Column B using the table below.
| Column A | Column B |
|---|---|
(a) \(\sin(x+y)\sin(x-y)\) | (i) \(\cos^2 x - \sin^2 y\) |
(b) \(\cos(x+y)\cos(x-y)\) | (ii) \(\dfrac{1-\tan\theta}{1+\tan\theta}\) |
(c) \(\cot\left(\dfrac{\pi}{4} + \theta\right)\) | (iii) \(\dfrac{1+\tan\theta}{1-\tan\theta}\) |
(d) \(\tan\left(\dfrac{\pi}{4} + \theta\right)\) | (iv) \(\sin^2 x - \sin^2 y\) |
| Column A | Matched Item from Column B |
|---|---|
(a) \(\sin(x+y)\sin(x-y)\) | (iv) \(\sin^2 x - \sin^2 y\) |
(b) \(\cos(x+y)\cos(x-y)\) | (i) \(\cos^2 x - \sin^2 y\) |
(c) \(\cot\left(\dfrac{\pi}{4} + \theta\right)\) | (ii) \(\dfrac{1-\tan\theta}{1+\tan\theta}\) |
(d) \(\tan\left(\dfrac{\pi}{4} + \theta\right)\) | (iii) \(\dfrac{1+\tan\theta}{1-\tan\theta}\) |