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The equation of tangents to the curve y=...

The equation of tangents to the curve `y=cos(x+y), -2pi<=x<=2pi` that are parallel to the line x +2y= 0

Text Solution

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`x+2y=0`
`m=-1/2`
`y=cos(x+y)`
differentiate with respect to x
`dy/dx=-sin(x+y)(1+y^2)`
`-1/2=-sin(x+y)(1-1/2)`
`-1=-sin(x+y)`
`sin(x+y)=1`
...
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