What is the tangent of sin(x+y)=2x-2y,(pi,pi) ?

The tangent of sin(x+y)=2x-2y,(pi,pi) is y= 1/3 x+pi-pi/3

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tangent of sin(x+y)=2x-2y,(pi,pi)

tangent

y = \frac{1}{3} x + π - \frac{π}{3}

Solution steps

Find the slope of

sin (x + y) = 2 x - 2 y : \frac{d y}{d x} = \frac{2 - cos ( x + y )}{cos ( x + y ) + 2}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{1}{3}

Find the line with slope m=

\frac{1}{3}

and passing through

(π, π) : y = \frac{1}{3} x + π - \frac{π}{3}

y = \frac{1}{3} x + π - \frac{π}{3}

What is the tangent of sin(x+y)=2x-2y,(pi,pi) ?
The tangent of sin(x+y)=2x-2y,(pi,pi) is y= 1/3 x+pi-pi/3