Question

Срочная помощь по тригонометрии!!!!

$cos frac{3pi}{x^2} = frac{ sqrt{3} }{2}$

Answer 1

3pi/x^2=pi/6+2pi*n, n∈Z
x^2=3pi/(pi/6+2pi*n), n∈Z
x^2=18pi/(pi+12pi*n), n∈Z
x^2=18/(1+12n), n∈Z
x1=3*sqrt(2)/sqrt((1+12n)), n∈Z
x2= -3*sqrt(2)/sqrt((1+12n)), n∈Z

3pi/x^2= 2pi*n-pi/6
x^2= 3pi/(2pi*n-pi/6), n∈Z
x^2=18pi/(12pi*n-pi), n∈Z
x3=3sqrt(2)/sqrt(12n-1), n∈Z
x4= -3sqrt(2)/sqrt(12n-1), n∈Z