Math, asked by dilipk82003, 4 months ago

Prove that
sin(x+y)_tan x +tan y
sin(x-y) tan x-tan y​

Answers

Answered by nisha02345
1

Answer:

Solution :

L.H.S.=sin(x+y)sin(x−y)

=sinxcosy+sinycosxsinxcosy−cosxsiny

Dividing numerator and denominator by cosxcosy

=(sinxcosx)+(sinycosy)(sinxcosx)−(sinycosy)

=tanx+tanytanx−tany=R.H.S

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