Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
find all (x,y) such that
sin(x) + sin(y) = sin(x+y) and mod.(x) + mod.(y) = 1.
(0,1),(0,-1),(1,0),(-1,0) are the solutions of the equation. becoz sin(x)+sin(y) = 2sin(x+y/2)cos(x-y/2) and sin(x+y)= 2sin(x+y/2)cos(x+y/2) putiing both of them equal we get cos(x-y/2) = cos(x+y/2) then (x-y)/2= (x+y)/2 or (x-y)/2=-(x+y)/2 as cos(x)=cos(-x) x=0 or y=0 Put these value in mod(x)+mod(y)=1 and get possible values of x and y.
(0,1),(0,-1),(1,0),(-1,0) are the solutions of the equation.
becoz sin(x)+sin(y) = 2sin(x+y/2)cos(x-y/2)
and sin(x+y)= 2sin(x+y/2)cos(x+y/2)
putiing both of them equal
we get cos(x-y/2) = cos(x+y/2)
then (x-y)/2= (x+y)/2 or (x-y)/2=-(x+y)/2 as cos(x)=cos(-x)
x=0 or y=0
Put these value in mod(x)+mod(y)=1 and get possible values of x and y.
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !