Proof: Sine 2

Let's prove the following theorem:

if ∠ABC is a right angle, then sine of (m∠CAB) = (distance CB) / (distance CA)

Proof:

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Given
1 ABC is a right angle
Proof Table
# Claim Reason
1 sine of (m∠BAC) = (distance CB) / (distance CA) if ∠ABC is a right angle, then sine of (m∠BAC) = (distance CB) / (distance CA)
2 m∠BAC = m∠CAB m∠BAC = m∠CAB
3 sine of (m∠BAC) = sine of (m∠CAB) if m∠BAC = m∠CAB, then sine of (m∠BAC) = sine of (m∠CAB)
4 sine of (m∠CAB) = (distance CB) / (distance CA) if sine of (m∠BAC) = sine of (m∠CAB) and sine of (m∠BAC) = (distance CB) / (distance CA), then sine of (m∠CAB) = (distance CB) / (distance CA)

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