Question

if tan x= k tany then prove that (k+1) sin (x-y)=(k-1)sin (x+y)

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

given, tan x=tan y

sin x /cos x=k sin y /cos y

k = sin x. cos y /cos x. sin y

Apply componendot divide,

sin x cos y + cos x sin y /sin x cos y - cos x sin y = k+1 /k-/

sin ( x+y) /sin(x-y) = k+1 /k-1

( k+1) sin (x-y) = ( k-1) sin(x+y) proved

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