# What is the value of sec(arctan 2)?

Aug 29, 2015

Find $\sec \left(\arctan 2\right)$

Ans: 2.236

#### Explanation:

Use calculator.
tan x = 2 --> x = 63.43.
cos x = cos 63.43 = 0.447
$\sec x = \frac{1}{\cos} x = \frac{1}{0.447} = 2.236$