(10.05 MC) Simplify cos2 Θ(1 + tan2 Θ). (2 points)

Since tanΘ = sinΘ / cosΘ:
cos^2 Θ (1 + tan^2 Θ)
= cos^2 Θ (1 + sin^2 Θ / cos^2 Θ)
Distributing:
= cos^2 Θ + sin^2 Θ
By the Pythagorean identity,
= 1