# How do I find the value of sin 45+cos 60?

Sep 26, 2015

The answer is $1.20$

#### Explanation:

$\sin {45}^{\text{o}} = 0.71$
$\cos {60}^{\text{o}} = 0.50$

$0.71 + 0.50 = 1.20$

Sep 26, 2015

$\frac{1 + \sqrt{2}}{2}$

#### Explanation:

assuming the values are in degrees,
$\sin \left(45\right) = \sin \left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}$
$\cos \left(60\right) = \cos \left(\frac{\pi}{3}\right) = \frac{1}{2}$
so
$\sin \left(45\right) + \cos \left(60\right) = \frac{\sqrt{2}}{2} + \frac{1}{2}$
$= \frac{1 + \sqrt{2}}{2}$