What is the tangent of 3xy-2picos(y)=20pi,(6,pi) ?

The tangent of 3xy-2picos(y)=20pi,(6,pi) is y=-pi/6 x+2pi

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tangent of 3xy-2picos(y)=20pi,(6,pi)

tangent of

3 x y - 2 π cos (y) = 20 π, (6, π)

y = - \frac{π}{6} x + 2 π

Solution steps

Find the slope of

3 x y - 2 π cos (y) = 20 π : \frac{d y}{d x} = - \frac{3 y}{3 x + 2 π sin ( y )}

Compute the slope of

3 x y - 2 π cos (y) = 20 π

(6, π) : m = - \frac{π}{6}

Find the line with slope m=

- \frac{π}{6}

and passing through

(6, π) : y = - \frac{π}{6} x + 2 π

y = - \frac{π}{6} x + 2 π

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What is the tangent of 3xy-2picos(y)=20pi,(6,pi) ?
The tangent of 3xy-2picos(y)=20pi,(6,pi) is y=-pi/6 x+2pi