Дано

$$sin^{2}{left (x right )} + cos^{2}{left (y right )} = frac{1}{5}$$
Ответ
$$x_{1} = – {asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=
$$- {asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=

2.81984209919315

$$y_{1} = – {acos}{left (- frac{sqrt{10}}{10} right )} + 2 pi$$
=
$$- {acos}{left (- frac{sqrt{10}}{10} right )} + 2 pi$$
=

4.39063842598805

$$x_{2} = – {asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=
$$- {asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=

2.81984209919315

$$y_{2} = {acos}{left (- frac{sqrt{10}}{10} right )}$$
=
$${acos}{left (- frac{sqrt{10}}{10} right )}$$
=

1.89254688119154

$$x_{3} = {asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=
$${asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=

3.46334320798644

$$y_{3} = – {acos}{left (frac{sqrt{10}}{10} right )} + 2 pi$$
=
$$- {acos}{left (frac{sqrt{10}}{10} right )} + 2 pi$$
=

5.03413953478133

$$x_{4} = {asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=
$${asin}{left (frac{sqrt{10}}{10} right )} + pi$$
=

3.46334320798644

$$y_{4} = {acos}{left (frac{sqrt{10}}{10} right )}$$
=
$${acos}{left (frac{sqrt{10}}{10} right )}$$
=

1.24904577239825

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

-0.321750554396642

$$y_{5} = – {acos}{left (frac{sqrt{10}}{10} right )} + 2 pi$$
=
$$- {acos}{left (frac{sqrt{10}}{10} right )} + 2 pi$$
=

5.03413953478133

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

-0.321750554396642

$$y_{6} = {acos}{left (frac{sqrt{10}}{10} right )}$$
=
$${acos}{left (frac{sqrt{10}}{10} right )}$$
=

1.24904577239825

$$x_{7} = {asin}{left (frac{sqrt{10}}{10} right )}$$
=
$${asin}{left (frac{sqrt{10}}{10} right )}$$
=

0.321750554396642

$$y_{7} = – {acos}{left (- frac{sqrt{10}}{10} right )} + 2 pi$$
=
$$- {acos}{left (- frac{sqrt{10}}{10} right )} + 2 pi$$
=

4.39063842598805

$$x_{8} = {asin}{left (frac{sqrt{10}}{10} right )}$$
=
$${asin}{left (frac{sqrt{10}}{10} right )}$$
=

0.321750554396642

$$y_{8} = {acos}{left (- frac{sqrt{10}}{10} right )}$$
=
$${acos}{left (- frac{sqrt{10}}{10} right )}$$
=

1.89254688119154

Численный ответ

x1 = -6.604935861576229
y1 = -1.249045772398254

x2 = -5.961434752782944
y2 = -1.892546881191539

x3 = 50.58723301183333
y3 = 71.00758526016699

x4 = -5.961434752782944
y4 = 1.892546881191539

x5 = -9.746528515166022
y5 = 10.67382373316763

x6 = 2.819842099193151
y6 = 1.892546881191539

x7 = -9.746528515166022
y7 = -10.67382373316763

x8 = -6.604935861576229
y8 = 5.034139534781332

x9 = -3.463343207986435
y9 = 4.390638425988048

x10 = 5.961434752782944
y10 = 5.034139534781332

x11 = -5.961434752782944
y11 = 10.67382373316763

x12 = -9.746528515166022
y12 = -1.892546881191539

x13 = 25.45449178311499
y13 = 33.30847341708947

x14 = -6.604935861576229
y14 = 1.249045772398254

x15 = 6.604935861576229
y15 = 10.67382373316763

x16 = 6.604935861576229
y16 = 8.175732188371125

x17 = -9.103027406372738
y17 = -7.532231079577841

x18 = -6.604935861576229
y18 = -5.034139534781332

x19 = -9.746528515166022
y19 = 1.892546881191539

x20 = 2.819842099193151
y20 = 10.67382373316763

x21 = -9.103027406372738
y21 = 7.532231079577841

   
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Slavikk85
Специализируюсь в написании рефератов, эссе, решении задач, а также в переводах текста с иностранного языка на русский-и наоборот