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 )
Accepted Solution
A:
Answer:1 + tan 2θ = sec 2θStep-by-step explanation:cos 2θ + sin 2θ = 1Dividing by cos 2θ we get( cos 2θ + sin 2θ ) / cos 2θ = 1 / cos 2θ1 + sin 2θ / cos 2θ = sec 2θAnd sin 2θ / cos 2θ = tan 2θThen1 + tan 2θ = sec 2θ