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## Homework Statement

1. cos θ - 1 / cos θ = sec θ - sec^2 θ

2. (sin θ + cos θ)^2 = 1 + 2 sin θ cos θ

3. (1 / 1 + cos θ) + (1 / 1 - cos θ) = 2csc^2θ

## Homework Equations

1 / cos θ = sec θ

1 / sin θ = csc θ

sin^2 θ + cos^2 θ = 1

cos^2 θ = 1 - sin^2 θ

sin^2 θ = 1 - cos^2 θ

## The Attempt at a Solution

1. cos θ - 1 / 1 - sin^2 θ

cos θ / (1 + sin^2 θ) (1 - sin^2 θ)

2. sin^2 θ + cos^2 θ = 1

3. LCD : (1 + cos θ) (1 - cos θ)

1 / 1 + cos θ (1 - cos θ)

1 - cos θ / (1 + cos θ) (1 - cos θ)

1 / 1 - cos θ (1 + cos θ)

1 + cos θ / (1 - cos θ) (1 + cos θ)

I'm really confused with these problems. I appreciate the help anyway, thanks. Happy holidays.