Question

Find the value of sec theta = 1.263. Give answer in degrees.

Answer 1

\[\sec \theta = \frac{1}{\cos \theta}\]\[\frac{1}{\cos \theta} = 1.263\]
cross multiply and you'll get :
\[(\cos \theta)(1.263) = 1\]
\[\cos \theta = \frac{1}{1.263}\]
now to find the angle in degrees :

\[\theta = \cos^{-1} (\frac{1}{1.263}) = 37.6 ^{o}\]

crrect me if I'm wrong ^_^