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

The general solution for solvefor x,3cot^2(x)-1=0 is x=1.04719…+pin,x=2.09439…+pin

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solvefor x,3cot^2(x)-1=0

solve for

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

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

Solution steps

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

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

tan (2 x + 10) = cot (3 x - 15)

tan (θ) = \frac{- 4}{3}

- 2 tan (a) + 2 = 4 tan (a) + 6

4 cos (x) sin (x) - sin (x) = 0

3 sin (θ) = 3 cos (θ)

What is the general solution for solvefor x,3cot^2(x)-1=0 ?
The general solution for solvefor x,3cot^2(x)-1=0 is x=1.04719…+pin,x=2.09439…+pin