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

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

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solvefor x,cot^2(x)= 1/3

solve for

x, cot^{2} (x) = \frac{1}{3}

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

Solution steps

cot^{2} (x) = \frac{1}{3}

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

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tan^{5} (x) tan^{2} (x) = 1

\frac{sin ^{2} ( a ) + 1}{( 1 + tan ^{2} ( a ) )} = 1

tan (a) = \frac{5}{9}, b = 6

sin^{3} (x) sin^{2} (x) sin (x) = 0

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