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sqrt(2)/2=sin(x); -sqrt(2)/2=cos(x)

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The solution

You have entered [src]
  ___         
\/ 2          
----- = sin(x)
  2           
$$\frac{\sqrt{2}}{2} = \sin{\left(x \right)}$$
   ___          
-\/ 2           
------- = cos(x)
   2            
$$\frac{\left(-1\right) \sqrt{2}}{2} = \cos{\left(x \right)}$$
(-sqrt(2))/2 = cos(x)
Rapid solution
$$x_{1} = \frac{3 \pi}{4}$$
=
$$\frac{3 \pi}{4}$$
=
2.35619449019234
Numerical answer [src]
x1 = 2.356194490192345
x2 = 8.639379797371932
x3 = -10.21017612416683
x4 = -3.926990816987242
x4 = -3.926990816987242