What is the general solution for cot^4(x)-9=0 ?

The general solution for cot^4(x)-9=0 is x= pi/6+pin,x=(5pi)/6+pin

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cot^4(x)-9=0

cot^{4} (x) - 9 = 0

x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn

Solution steps

cot^{4} (x) - 9 = 0

Solve by substitution

cot (x) = 3, cot (x) = - 3, cot (x) = 3 i, cot (x) = - 3 i

cot (x) = 3 : x = \frac{π}{6} + πn

cot (x) = - 3 : x = \frac{5 π}{6} + πn

cot (x) = 3 i :

No Solution

cot (x) = - 3 i :

No Solution

Combine all the solutions

x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn

0.5 \cdot sin (x) = 1 \cdot (645 \cdot 1 0^{- 9})

sin (2 x) = 2 cos (2 x)

5 tan^{2} (x) - 7 = 8

3 sin (2 y) - 4 sin (2 y) cos (2 y) = 0

sin (x) + sin (4 x) = 0

What is the general solution for cot^4(x)-9=0 ?
The general solution for cot^4(x)-9=0 is x= pi/6+pin,x=(5pi)/6+pin