Question : The value of ($\sin 45^\circ+\cos 45^\circ$) is___________.
Option 1: $\frac{2}{\sqrt{2}}$
Option 2: $\frac{1}{\sqrt{2}}$
Option 3: $1$
Option 4: ${\sqrt{2}}$
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Correct Answer: ${\sqrt{2}}$
Solution :
$(\sin 45^\circ+\cos 45^\circ)$
= $\frac{1}{\sqrt2}+\frac{1}{\sqrt2}$
= $\sqrt2$
Hence, the correct answer is $\sqrt2$.
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