- Given that
$$\tan \theta ^ { \circ } = p , \text { where } p \text { is a constant, } p \neq \pm 1$$
use standard trigonometric identities, to find in terms of \(p\),
- \(\tan 2 \theta ^ { \circ }\)
- \(\cos \theta ^ { \circ }\)
- \(\cot ( \theta - 45 ) ^ { \circ }\)
Write each answer in its simplest form.