Question

Simplify cos2 Θ(1 + tan2 Θ). (2 points)
cos2 Θ + sin2 Θ
cos2 Θ
1
−1

Answer 1

cos^2Θ(1 + tan^2Θ)

Use the Pythagorean identity to simplify the parentheses:

cos^2Θ(sec^2Θ)

Use the inverse identities:

cos^2Θ(1/cos^2Θ)

Distribute:

cos^2Θ / cos^2Θ

Simplify:

1