- #1
priscilla98
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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.