What is the general solution for (cot^2(x))/2 =3 ?

The general solution for (cot^2(x))/2 =3 is x=0.38759…+pin,x=2.75399…+pin

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(cot^2(x))/2 =3

\frac{cot ^{2} ( x )}{2} = 3

x = 0.38759 \dots + πn, x = 2.75399 \dots + πn

Solution steps

\frac{cot ^{2} ( x )}{2} = 3

Solve by substitution

cot (x) = 6, cot (x) = - 6

cot (x) = 6 : x = arccot (6) + πn

cot (x) = - 6 : x = arccot (- 6) + πn

Combine all the solutions

x = arccot (6) + πn, x = arccot (- 6) + πn

Show solutions in decimal form

x = 0.38759 \dots + πn, x = 2.75399 \dots + πn

sin (x - 3 0^{\circ}) = 0.7

\leq 3 \cdot cos (x) - sin (x) = 0

tan^{2} (x) + sec^{2} (x) = 3

4 sin^{2} (x) - 6 cos^{2} (x) = 0

sin (6 0^{\circ} - a) = 0.598

What is the general solution for (cot^2(x))/2 =3 ?
The general solution for (cot^2(x))/2 =3 is x=0.38759…+pin,x=2.75399…+pin