In the diagram below AQRS is an equilateral triangle and RT
1 answer:
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Answer:
Proved
Step-by-step explanation:
To Prove:
Proof:
Now:
Therefore:
Applying these angle sum formula
Divide all through by
=sin \alpha cos \beta + cos \alpha sin \beta/cos \alpha cos \beta/cos \alpha cos \beta- sin \alpha sin \beta/cos \alpha cos \beta
=sin \alpha/cos \alpha + sin \beta/cos \beta/1-tan \alpha tan \beta
=tan A + tan B/1-tan A tan B
