What is the general solution for tan^4(x)-1=0 ?

The general solution for tan^4(x)-1=0 is x= pi/4+pin,x=(3pi)/4+pin

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tan^4(x)-1=0

tan^{4} (x) - 1 = 0

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

Solution steps

tan^{4} (x) - 1 = 0

Solve by substitution

tan (x) = 1, tan (x) = - 1, tan (x) = i, tan (x) = - i

tan (x) = 1 : x = \frac{π}{4} + πn

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

tan (x) = i :

No Solution

tan (x) = - i :

No Solution

Combine all the solutions

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

sin (x) = 1, - π \leq x \leq 3 π

15 sin (x) + 19 = 14 sin (x) + 18

3 + 3 sin (θ) = \frac{6}{3 - 2 sin ( θ )}

cos (x) = - 0.07

2 tan (θ) + 9 = 0

What is the general solution for tan^4(x)-1=0 ?
The general solution for tan^4(x)-1=0 is x= pi/4+pin,x=(3pi)/4+pin