Solve cos(45)+cos(45)+cos(45)

$$\cos ( 45 ) + \cos ( 45 ) + \cos ( 45 )$$

Evaluate

$$\frac{3\sqrt{2}}{2}\approx 2.121320344$$

Solution Steps

Get the value of \cos(45) from trigonometric values table.

$$\frac{\sqrt{2}}{2}+\cos(45)+\cos(45)$$

Get the value of \cos(45) from trigonometric values table.

$$\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}+\cos(45)$$

Combine \frac{\sqrt{2}}{2} and \frac{\sqrt{2}}{2} to get \sqrt{2}.

$$\sqrt{2}+\cos(45)$$

Get the value of \cos(45) from trigonometric values table.

$$\sqrt{2}+\frac{\sqrt{2}}{2}$$

Combine \sqrt{2} and \frac{\sqrt{2}}{2} to get \frac{3}{2}\sqrt{2}.

$$\frac{3}{2}\sqrt{2}$$