Consider the Pythagorean Identity cos 2 ( θ ) + sin 2 ( θ ) = 1 . Divide both sides of this identity by cos 2 ( θ ) and simplify the resulting equation. What is the result? cos 2 ( θ ) + sin 2 ( θ ) = 1 cot 2 ( θ ) + 1 = csc 2 ( θ ) cos ( θ ) ⋅ sec ( θ ) = 1 1 + tan 2 ( θ ) = sec 2 ( θ )