What is the general solution for tan(x)=a,tan(x+180) ?

The general solution for tan(x)=a,tan(x+180) is

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tan(x)=a,tan(x+180)

tan (x) = a, tan (x + 18 0^{\circ})

x = arctan (a), x = arctan (a) + 18 0^{\circ}, x = arctan (a) + 36 0^{\circ}, x = arctan (a) + 54 0^{\circ}, x = arctan (a) + 72 0^{\circ}, x = arctan (a) - 18 0^{\circ}, x = arctan (a) - 36 0^{\circ}, x = arctan (a) - 54 0^{\circ}, x = arctan (a) - 72 0^{\circ}

Radians

x = arctan (a), x = arctan (a) + π, x = arctan (a) + 2 π, x = arctan (a) + 3 π, x = arctan (a) + 4 π, x = arctan (a) - π, x = arctan (a) - 2 π, x = arctan (a) - 3 π, x = arctan (a) - 4 π

Solution steps

tan (x) = a, tan (x + 18 0^{\circ})

Apply trig inverse properties

tan (x) = a

General solutions for

tan (x) = a

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

x = arctan (a) + 18 0^{\circ} n

x = arctan (a) + 18 0^{\circ} n

Solutions for the range

tan (x + 18 0^{\circ})

x = arctan (a), x = arctan (a) + 18 0^{\circ}, x = arctan (a) + 36 0^{\circ}, x = arctan (a) + 54 0^{\circ}, x = arctan (a) + 72 0^{\circ}, x = arctan (a) - 18 0^{\circ}, x = arctan (a) - 36 0^{\circ}, x = arctan (a) - 54 0^{\circ}, x = arctan (a) - 72 0^{\circ}

cos (x) (tan (x) csc (x))^{2} - 1 = 2 cos (x)

sin (a) = \frac{4}{6}

cos (a) = 0.94

2 cos (2 x) - 1 = 0

2 cos^{2} (t) - cos (t) - 3 = 0

What is the general solution for tan(x)=a,tan(x+180) ?
The general solution for tan(x)=a,tan(x+180) is