Answer
(a) $θ=60°=\frac{\pi}{3}rad$
(b) $θ=45°=\frac{\pi}{4}rad$
Work Step by Step
Consult the table on page 436:
(a) $sec~θ=2$
$\frac{1}{cos~θ}=2$
$cos~θ=\frac{1}{2}$
$θ=60°=\frac{\pi}{3}rad$
(b) $cot~θ=1$
$\frac{1}{tan~θ}=1$
$tan~θ=1$
$θ=45°=\frac{\pi}{4}rad$