What is the general solution for sqrt(3)cot^2(x)-1=0 ?

The general solution for sqrt(3)cot^2(x)-1=0 is x=0.92103…+pin,x=2.22056…+pin

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sqrt(3)cot^2(x)-1=0

3 cot^{2} (x) - 1 = 0

x = 0.92103 \dots + πn, x = 2.22056 \dots + πn

Solution steps

3 cot^{2} (x) - 1 = 0

Solve by substitution

cot (x) = \frac{3}{3}, cot (x) = - \frac{3}{3}

cot (x) = \frac{3}{3} : x = arccot \frac{3}{3} + πn

cot (x) = - \frac{3}{3} : x = arccot - \frac{3}{3} + πn

Combine all the solutions

x = arccot \frac{3}{3} + πn, x = arccot - \frac{3}{3} + πn

Show solutions in decimal form

x = 0.92103 \dots + πn, x = 2.22056 \dots + πn

sin (x) \cdot cos (x) = 1

(2 cos^{2} (x) - 1) (4 sin^{2} (x) - 3) = 0

sin^{2} (t) = 1

4 cos (x) sin (x) = 1

- 9 cos^{2} (θ) - 9 sin (θ) + 10 = - 1

What is the general solution for sqrt(3)cot^2(x)-1=0 ?
The general solution for sqrt(3)cot^2(x)-1=0 is x=0.92103…+pin,x=2.22056…+pin