If a = 60° and b = 30°
(i) sin (A-B)
___________ = Cot B - cot A
Sin A sin B
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A = 60 and B = 30.
Sin (A+B)/CosA.CosB
LHS :
Sin(A+B)/CosA.CosB = (SinA.CosB + CosA.SinB)/CosA.CosB
= (SinA.CosB/CosA.CosB) + (CosA.sinB/CosA.CosB)
Cancelling common terms from numerators and denominators
= SinA/CosA + SinB/CosB = TanA + TanB .
A = 60 and B = 30.
Sin (A+B)/CosA.CosB
LHS :
Sin(A+B)/CosA.CosB = (SinA.CosB + CosA.SinB)/CosA.CosB
= (SinA.CosB/CosA.CosB) + (CosA.sinB/CosA.CosB)
Cancelling common terms from numerators and denominators
= SinA/CosA + SinB/CosB = TanA + TanB .
Sin (A+B)/CosA.CosB
LHS :
Sin(A+B)/CosA.CosB = (SinA.CosB + CosA.SinB)/CosA.CosB
= (SinA.CosB/CosA.CosB) + (CosA.sinB/CosA.CosB)
Cancelling common terms from numerators and denominators
= SinA/CosA + SinB/CosB = TanA + TanB .
A = 60 and B = 30.
Sin (A+B)/CosA.CosB
LHS :
Sin(A+B)/CosA.CosB = (SinA.CosB + CosA.SinB)/CosA.CosB
= (SinA.CosB/CosA.CosB) + (CosA.sinB/CosA.CosB)
Cancelling common terms from numerators and denominators
= SinA/CosA + SinB/CosB = TanA + TanB .
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