Evaluate the following. sin 45° + cos 45°

1.	Evaluate the following. sin 45° + cos 45°
Answer» sin 45° + cos 45° = \(\frac{1}{\sqrt{2}}\) + \(\frac{1}{\sqrt{2}}\) = \(\frac{1+1}{\sqrt{2}}\) = \(\frac{2}{\sqrt{2}}\) = \(\frac{\sqrt{2}\times\sqrt{2}}{\sqrt{2}}\) = \(\sqrt{2}\)

Answer»

sin 45° + cos 45°

= \(\frac{1}{\sqrt{2}}\) + \(\frac{1}{\sqrt{2}}\)

= \(\frac{1+1}{\sqrt{2}}\)

= \(\frac{2}{\sqrt{2}}\)

= \(\frac{\sqrt{2}\times\sqrt{2}}{\sqrt{2}}\)

= \(\sqrt{2}\)

Discussion