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Trigonometry

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Find the Other Side of the Proof

TRIG-T5JUMR

Determine which of the following expressions could be the other side to the proof:

$$\cfrac{\sin{x}}{1+\cos{x}}+\cfrac{\cos{x}}{1+\sin{x}}= \ \ ?$$

A

$\cfrac{\cos{x}-1-\sin{x}}{(1+\cos{x})\cos{x}}$

B

$\cfrac{\cos{x}+1-\sin{x}}{(1+\cos{x})\cos{x}}$

C

$\cfrac{\cos{x}+1+\sin{x}}{(1+\cos{x})\cos{x}}$

D

$\cfrac{\cos{x}+1-\sin{x}}{(1-\cos{x})\cos{x}}$

E

$\cfrac{\cos{x}-1-\sin{x}}{(1-\cos{x})\cos{x}}$