Question

write the general solution for the equation sin x is equal to sin y​

Answer 1

Answer:

General solution of given trig. equation is given as follows [math]\sin x=\sin y[/math] ... What is the general solution of sin^50- cos^50 =1? ..... Since, both ratios are given equal,.

Answer 2

Answer:

sin x= sin y

sin x-siny =0

2cos [( x+y)/2] sin [(x-y)/2]

cos (x+y)/2=0 or sin (x-y)/2=0

general formula

(x+y)/2 = (2n+1)π/2

=> (x-y)/2 =nπ

x+y= (2n+1) π

=> x-y= 2nπ

x= (2n+1) π+ x= 2nπ + y

therefore final general solution

x= nπ + (-1)raised to n y, where n €z( Proveed