Correct Option (B) √2 + 1
Given that
\(A=45^{\circ}\)
then,
\( \sin A+\cos A+\tan A \)
\(= \sin 45^{\circ}+\cos 45^{\circ}+\tan 45^{\circ}\)
\(= \frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}+\frac{1}{1}\)
\(= \frac{1+1+\sqrt{2}}{\sqrt{2}}\)
\(=\frac{2+\sqrt{2}}{\sqrt{2}}\)
\(=\frac{2+\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}\)
\( =\frac{2 \sqrt{2}+2}{2}\)
\( =\frac{\not2(\sqrt{2}+1)}{\not2}\)
\( =\sqrt{2}+1\)
