Math, asked by lalithasivakumar72, 21 days ago

If x=cos theta+sin theta and y=cos theta-sin theta,then
1.
x ^{2} + y {2} = 2
2.
x {2} + y {}^{2} = 1
3.
xy = 1
4.
 \frac{x}{y} = 1
answer please and 1 option prove it was correct or not every option was clearly explain it was right or wrong​

Answers

Answered by sehajarsh
1
Add both equations and subtract both equations
ya get this
x+y=2cos theta and x-y=2sin theta
Square and add both equations
This (x+y)2+(x-y)2= 4(sin^2 theta + cos^2 theta
=> 2(x2+y2)= 4
=> x2+y2=2
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