Question

2sin45 + 2cos45

Answer 1

Answer on Question#39126 - Math – Trigonometry

$$2 \sin 45 + 2 \cos 45$$

Answer.

$$\sin 45 = \cos 45 = \frac{1}{\sqrt{2}}$$

Thus,

$$2 \sin 45 + 2 \cos 45 = 2 \cdot \frac{1}{\sqrt{2}} + 2 \cdot \frac{1}{\sqrt{2}} = \sqrt{2} + \sqrt{2} = 2\sqrt{2}.$$