Дано

$$sin{left (x right )} cos{left (y right )} = frac{1}{2}$$

cos(x)*sin(y) = 3/10

$$sin{left (y right )} cos{left (x right )} = frac{3}{10}$$
Ответ
$$x_{1} = – {asin}{left (frac{-8 + 3 sqrt{6}}{- 6 sqrt{6} + 14} right )} + pi$$
=
$${asin}{left (frac{- 3 sqrt{6} + 8}{- 6 sqrt{6} + 14} right )} + pi$$
=

1.93376497540054

$$y_{1} = – 2 {atan}{left (- sqrt{6} + 3 right )}$$
=
$$- 2 {atan}{left (- sqrt{6} + 3 right )}$$
=

-1.00646975739893

$$x_{2} = – {asin}{left (frac{-4 + sqrt{6}}{- 2 sqrt{6} + 2} right )} + pi$$
=
$${asin}{left (frac{- sqrt{6} + 4}{- 2 sqrt{6} + 2} right )} + pi$$
=

2.57726608419382

$$y_{2} = – 2 {atan}{left (- frac{sqrt{6}}{3} + 1 right )}$$
=
$$- 2 {atan}{left (- frac{sqrt{6}}{3} + 1 right )}$$
=

-0.362968648605641

$$x_{3} = {asin}{left (frac{sqrt{6} + 4}{2 + 2 sqrt{6}} right )} + pi$$
=
$${asin}{left (frac{sqrt{6} + 4}{2 + 2 sqrt{6}} right )} + pi$$
=

4.34942033177905

$$y_{3} = – 2 {atan}{left (frac{sqrt{6}}{3} + 1 right )}$$
=
$$- 2 {atan}{left (frac{sqrt{6}}{3} + 1 right )}$$
=

-2.13512289619087

$$x_{4} = {asin}{left (frac{3 sqrt{6} + 8}{14 + 6 sqrt{6}} right )} + pi$$
=
$${asin}{left (frac{3 sqrt{6} + 8}{14 + 6 sqrt{6}} right )} + pi$$
=

3.70591922298576

$$y_{4} = – 2 {atan}{left (sqrt{6} + 3 right )}$$
=
$$- 2 {atan}{left (sqrt{6} + 3 right )}$$
=

-2.77862400498415

$$x_{5} = – {asin}{left (frac{1}{5} + frac{3 sqrt{6}}{10} right )}$$
=
$$- {asin}{left (frac{1}{5} + frac{3 sqrt{6}}{10} right )}$$
=

-1.20782767818926

$$y_{5} = 2 {atan}{left (frac{sqrt{6}}{3} + 1 right )}$$
=
$$2 {atan}{left (frac{sqrt{6}}{3} + 1 right )}$$
=

2.13512289619087

$$x_{6} = {asin}{left (frac{1}{5} + frac{3 sqrt{6}}{10} right )}$$
=
$${asin}{left (frac{1}{5} + frac{3 sqrt{6}}{10} right )}$$
=

1.20782767818926

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

1.00646975739893

$$x_{7} = – {asin}{left (- frac{3 sqrt{6}}{10} + frac{1}{5} right )}$$
=
$$- {asin}{left (- frac{3 sqrt{6}}{10} + frac{1}{5} right )}$$
=

0.564326569395971

$$y_{7} = 2 {atan}{left (- frac{sqrt{6}}{3} + 1 right )}$$
=
$$2 {atan}{left (- frac{sqrt{6}}{3} + 1 right )}$$
=

0.362968648605641

$$x_{8} = {asin}{left (- frac{3 sqrt{6}}{10} + frac{1}{5} right )}$$
=
$${asin}{left (- frac{3 sqrt{6}}{10} + frac{1}{5} right )}$$
=

-0.564326569395971

$$y_{8} = 2 {atan}{left (sqrt{6} + 3 right )}$$
=
$$2 {atan}{left (sqrt{6} + 3 right )}$$
=

2.77862400498415

Численный ответ
Читайте также  300=8*x+2*y (100-4*x)*1/8=(60-y)*1/2

x1 = -5.718858737783615
y1 = -5.920216658573946

x2 = -4.349420331779049
y2 = -1.006469757398925

x3 = 58.48243274001682
y3 = -57.5551375220152

x4 = 5.718858737783615
y4 = 9.061809312163739

x5 = -1.207827678189256
y5 = 2.135122896190868

x6 = -6.847511876575558
y6 = 9.061809312163739

x7 = -13.77419829254843
y7 = 2.135122896190868

x8 = -1.207827678189256
y8 = 14.70149351055004

x9 = 1.207827678189256
y9 = 1.006469757398925

x10 = -9.989104530165351
y10 = -6.646153955785227

x11 = -8.216950282580124
y11 = -8.418308203370455

x12 = -8.860451391373408
y12 = 3.504561302195434

x13 = -1.933764975400537
y13 = 10.4312477181683

x14 = 2.577266084193822
y14 = 5.920216658573946

x15 = 9.989104530165351
y15 = 9.78774660937502

x16 = -1.933764975400537
y16 = -2.135122896190868

x17 = -9.989104530165351
y17 = 5.920216658573946

x18 = 6.847511876575558
y18 = 6.646153955785227

x19 = -5.718858737783615
y19 = 6.646153955785227

   
5.0
Olive
Выполняю переводы с английского языка на русский, контрольные работы по английскому и русскому языкам. Гарантирую точность и грамотность перевода. Также делаю контрольные и домашние задания по математике, физике и техническим дисциплинам.