Q37 of 123 Page 9

If 2 tan α = 3 tan β, prove that tan (α - β)

Given: 2 tan α = 3 tan β



Proof:


Take LHS:


tan α – tan β














{∵ sin 2x = 2(sin x)(cos x)}



{∵ 2 cos2 x = 1 + cos 2x & 2 sin2 x = 1 – cos 2x}




= RHS


Hence Proved


More from this chapter

All 123 →
35

Prove that:

 36

Prove that:

 38

If sin α + sin β = a and cos α + cos β = b, prove that

 38

If sin α + sin β = a and cos α + cos β = b, prove that