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

The general solution for cot^2(x)-cot(x)-2=0 is x=0.46364…+pin,x=(3pi)/4+pin

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cot^2(x)-cot(x)-2=0

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

x = 0.46364 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

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

Solve by substitution

cot (x) = 2, cot (x) = - 1

cot (x) = 2 : x = arccot (2) + πn

cot (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = arccot (2) + πn, x = \frac{3 π}{4} + πn

Show solutions in decimal form

x = 0.46364 \dots + πn, x = \frac{3 π}{4} + πn

cos^{2} (θ) = 0.1831

tan (a + 5^{\circ}) = 2 sin (3 0^{\circ}) + sec (24 5^{\circ})

cot (x) = tan (2 5^{\circ})

2 sin (2 θ) = cos (2 θ + 3 0^{\circ})

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

What is the general solution for cot^2(x)-cot(x)-2=0 ?
The general solution for cot^2(x)-cot(x)-2=0 is x=0.46364…+pin,x=(3pi)/4+pin