Proof: Cosine
Let's prove the following theorem:
if ∠ABC is a right angle, then cosine of (m∠BAC) = (distance BA) / (distance CA)
Proof:
Given
| 1 | ∠ABC is a right angle |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | ∠CBA is a right angle | if ∠ABC is a right angle, then ∠CBA is a right angle |
| 2 | cosine of (m∠BAC) = (distance BA) / (distance CA) | if ∠CBA is a right angle, then cosine of (m∠BAC) = (distance BA) / (distance CA) |
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