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2 tan a = 3 tan b, then prove that sin (a + b) = 5 sin (a - b)

2 tan a = 3 tan b, then prove that sin (a + b) = 5 sin (a - b)

Grade:11

1 Answers

Arun
25763 Points
4 years ago
we can write as
2 sinA cosB= 3sinB cosA      (1)
 
now expand the LHS
sinA cosB + cosA sinB
put the value sinA cos B from (1)
 
and also solve RHS, then you will see that LHS=RHS
hence proved

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