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

The general solution for 3cot^2(x)=1 is x=1.04719…+pin,x=2.09439…+pin

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3cot^2(x)=1

3 cot^{2} (x) = 1

x = 1.04719 \dots + πn, x = 2.09439 \dots + πn

Solution steps

3 cot^{2} (x) = 1

Solve by substitution

cot (x) = \frac{1}{3}, cot (x) = - \frac{1}{3}

cot (x) = \frac{1}{3} : x = arccot (\frac{1}{3}) + πn

cot (x) = - \frac{1}{3} : x = arccot (- \frac{1}{3}) + πn

Combine all the solutions

x = arccot (\frac{1}{3}) + πn, x = arccot (- \frac{1}{3}) + πn

Show solutions in decimal form

x = 1.04719 \dots + πn, x = 2.09439 \dots + πn

cos (θ) = - \frac{5}{13}

4 sec (θ) + 6 = - 2

- 2 sin (x) + cos (2 x) \cdot 2 = 0

sec^{2} (x) - 2 = tan^{2} (x)

4 tan^{2} (x) - 1 = tan^{2} (x)

What is the general solution for 3cot^2(x)=1 ?
The general solution for 3cot^2(x)=1 is x=1.04719…+pin,x=2.09439…+pin