If dy dx = (x+y)+ (x+y),y(0)=0, then x+y 2 = - Vidyadip

MCQ

If $\frac{\text{dy}}{\text{dx}}=\sin(\text{x}+\text{y})+\cos(\text{x}+\text{y}),\text{y}(0)=0,$ then $\tan\frac{\text{x}+\text{y}}{2}=$

✓
$\text{e}^\text{x}-1$
B
$\frac{\text{e}^\text{x}-1}{2}$
C
$2(\text{e}^\text{x}-1)$
D
$1-\text{e}^\text{x}$

✓

Answer

Correct option: A.

$\text{e}^\text{x}-1$

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