Question

if tan x =2 tan y, then find sin(x+y) /sin(x-y) =3​

Answer 1

Answer:

We have, tanx+tany=sinxcosx+sinycosy,

=sinxcosy+cosxsinycosxcosy,

⇒tanx+tany=sin(x+y)cosxcosy...................(□1).

Similarly, tanx−tany=sin(x−y)cosxcosy............(□2).

∴ by (□1)and(□2),tanx+tanytanx−tany,

=sin(x+y)sin(x−y).

Hence, the Proof.

Answer link



Steve M

Mar 16, 2018

We seek to prove that:

sin(x+y)sin(x−y)≡tanx+tany

Answer 2

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thanks