Question
Let $\text{f}:[0,\infty)\rightarrow\text{R}$ and $\text{g}:\text{R}\rightarrow\text{R}$ be defined by $\text{f(x)}=\sqrt{\text{x}}$ and g(x) = x. Find f + g, g - g, fg and $\frac{\text{f}}{\text{g}}$
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| $\text{column}\ C_1$ | $\text{column}\ C_2$ | ||
| $(a)$ | $\sin(\text{x + y})\sin\text{x}-\text{y}$ | $(i)$ | $\cos^2\text{x}-\sin^2\text{y}$ |
| $(b)$ | $\cos(\text{x + y})\cos(\text{x}-\text{y})$ | $(ii)$ | $\frac{1-\tan\theta}{1+\tan\theta}$ |
| $(c)$ | $\cot\Big(\frac{\pi}{4}+\theta\Big)$ | $(iii)$ | $\frac{1+\tan\theta}{1-\tan\theta}$ |
| $(d)$ | $\tan\Big(\frac{\pi}{4}+\theta\Big)$ | $(iv)$ | $\sin^2\text{x}-\sin^2\text{y}$ |