Prove the identity
LHS
= sin(a - b) / sin(a + b)
= (sina cosb - cosa sinb) / (sina cosb + cosa sinb)
Dividing the numerator and denominator by cosa sinb,
= (tana cotb - 1) / (tana cotb + 1)
= RHS
[Note: RHS should have properly placed brackets.]
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Verified answer
LHS
= sin(a - b) / sin(a + b)
= (sina cosb - cosa sinb) / (sina cosb + cosa sinb)
Dividing the numerator and denominator by cosa sinb,
= (tana cotb - 1) / (tana cotb + 1)
= RHS
[Note: RHS should have properly placed brackets.]