What is the general solution for 12*tan(x)=1 ?

The general solution for 12*tan(x)=1 is x=0.08314…+pin

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12*tan(x)=1

12 \cdot tan (x) = 1

x = 0.08314 \dots + πn

Degrees

x = 4.76364 \dots^{\circ} + 18 0^{\circ} n

Solution steps

12 tan (x) = 1

Divide both sides by

12

12 tan (x) = 1

Divide both sides by

12

\frac{12 tan ( x )}{12} = \frac{1}{12}

Simplify

tan (x) = \frac{1}{12}

tan (x) = \frac{1}{12}

Apply trig inverse properties

tan (x) = \frac{1}{12}

General solutions for

tan (x) = \frac{1}{12}

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{1}{12}) + πn

x = arctan (\frac{1}{12}) + πn

Show solutions in decimal form

x = 0.08314 \dots + πn

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

sin (θ) + cos (θ) = \frac{7}{5}, sin (2 θ)

tan^{2} (x) + tan (x) = 2

θ, r = 4 cos (θ)

tan (x) = \frac{5}{9}

What is the general solution for 12*tan(x)=1 ?
The general solution for 12*tan(x)=1 is x=0.08314…+pin