Transitive Property of Equality Variation 1
Divide Both Sides
Divide Both
Divide Distances
Tangent

Proof: Tangent

Let's prove the following theorem:

if tangent of (m∠BCA) = (distance AB) / (distance BC), then tangent of (m∠BCA) = (distance BA) / (distance CB)

Proof:

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Given
1 tangent of (m∠BCA) = (distance AB) / (distance BC)
Proof Table
# Claim Reason
1 (distance AB) / (distance BC) = (distance BA) / (distance CB) (distance AB) / (distance BC) = (distance BA) / (distance CB)
2 tangent of (m∠BCA) = (distance BA) / (distance CB) if tangent of (m∠BCA) = (distance AB) / (distance BC) and (distance AB) / (distance BC) = (distance BA) / (distance CB), then tangent of (m∠BCA) = (distance BA) / (distance CB)
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