1+4*sin(x)*cos(y)=0 1+4*sin(y)*cos(x)=0

$$4 sin{left (x right )} cos{left (y right )} + 1 = 0$$

1 + 4*sin(y)*cos(x) = 0

$$4 sin{left (y right )} cos{left (x right )} + 1 = 0$$

$$x_{1} = {asin}{left (frac{1}{4 cos{left (2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )} right )}} right )} + pi$$
=
$${asin}{left (frac{1}{4 cos{left (2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )} right )}} right )} + pi$$
=

4.45058959258554

$$y_{1} = 2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )}$$
=
$$2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )}$$
=

1.30899693899575

$$x_{2} = {asin}{left (frac{1}{4 cos{left (2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )} right )}} right )} + pi$$
=
$${asin}{left (frac{1}{4 cos{left (2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )} right )}} right )} + pi$$
=

1.83259571459405

$$y_{2} = 2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )}$$
=
$$2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )}$$
=

1.83259571459405

$$x_{3} = {asin}{left (frac{1}{4 cos{left (2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )} right )}} right )} + pi$$
=
$${asin}{left (frac{1}{4 cos{left (2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )} right )}} right )} + pi$$
=

2.87979326579064

$$y_{3} = 2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )}$$
=
$$2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )}$$
=

2.87979326579064

$$x_{4} = {asin}{left (frac{1}{4 cos{left (2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )} right )}} right )} + pi$$
=
$${asin}{left (frac{1}{4 cos{left (2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )} right )}} right )} + pi$$
=

3.40339204138894

$$y_{4} = – 2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )}$$
=
$$- 2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )}$$
=

0.261799387799149

$$x_{5} = – {asin}{left (frac{1}{4 cos{left (2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )} right )}} right )}$$
=
$$- {asin}{left (frac{1}{4 cos{left (2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )} right )}} right )}$$
=

-1.30899693899575

$$y_{5} = – 2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )}$$
=
$$- 2 {atan}{left (-2 + 2 sqrt{- sqrt{3} + 2} + sqrt{3} right )}$$
=

-1.30899693899575

$$x_{6} = – {asin}{left (frac{1}{4 cos{left (2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )} right )}} right )}$$
=
$$- {asin}{left (frac{1}{4 cos{left (2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )} right )}} right )}$$
=

1.30899693899575

$$y_{6} = – 2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )}$$
=
$$- 2 {atan}{left (- sqrt{3} + 2 sqrt{- sqrt{3} + 2} + 2 right )}$$
=

-1.83259571459405

$$x_{7} = – {asin}{left (frac{1}{4 cos{left (2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )} right )}} right )}$$
=
$$- {asin}{left (frac{1}{4 cos{left (2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )} right )}} right )}$$
=

0.261799387799149

$$y_{7} = – 2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )}$$
=
$$- 2 {atan}{left (sqrt{3} + 2 + 2 sqrt{sqrt{3} + 2} right )}$$
=

-2.87979326579064

$$x_{8} = – {asin}{left (frac{1}{4 cos{left (2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )} right )}} right )}$$
=
$$- {asin}{left (frac{1}{4 cos{left (2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )} right )}} right )}$$
=

-0.261799387799149

$$y_{8} = 2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )}$$
=
$$2 {atan}{left (- 2 sqrt{sqrt{3} + 2} + sqrt{3} + 2 right )}$$
=

-0.261799387799149

x1 = -1.308996938995747
y1 = -1.308996938995747

x2 = -6.021385919380437
y2 = -2.879793265790644

x3 = 6.021385919380437
y3 = 6.021385919380437

x4 = -1.832595714594046
y4 = 1.308996938995747

x5 = 6.544984694978736
y5 = 9.686577348568529

x6 = -6.544984694978736
y6 = 6.021385919380437

x7 = -14.39896632895322
y7 = 1.308996938995747

x8 = -6.021385919380437
y8 = 9.686577348568529

x9 = -1.832595714594046
y9 = 13.87536755335492

x10 = -9.16297857297023
y10 = -6.021385919380437

x11 = -6.544984694978736
y11 = -6.544984694978736

x12 = 1.832595714594046
y12 = 1.832595714594046

x13 = 8.115781021773633
y13 = 8.115781021773633

x14 = -10.73377489976513
y14 = 1.832595714594046

x15 = -9.686577348568529
y15 = -9.686577348568529

x16 = -9.16297857297023
y16 = 6.544984694978736

x17 = 2.879793265790644
y17 = 15.44616388014982

x18 = 7.592182246175334
y18 = 10.73377489976513

x19 = -9.686577348568529
y19 = 9.16297857297023