What is the general solution for 6=tan(6C) ?

The general solution for 6=tan(6C) is C=(1.40564…)/6+(pin)/6

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6=tan(6C)

6 = tan (6 C)

C = \frac{1.40564 \dots}{6} + \frac{πn}{6}

Degrees

C = 13.42294 \dots^{\circ} + 3 0^{\circ} n

Solution steps

6 = tan (6 C)

Switch sides

tan (6 C) = 6

Apply trig inverse properties

tan (6 C) = 6

General solutions for

tan (6 C) = 6

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

6 C = arctan (6) + πn

6 C = arctan (6) + πn

Solve

6 C = arctan (6) + πn : C = \frac{arctan ( 6 )}{6} + \frac{πn}{6}

6 C = arctan (6) + πn

Divide both sides by

6

6 C = arctan (6) + πn

Divide both sides by

6

\frac{6 C}{6} = \frac{arctan ( 6 )}{6} + \frac{πn}{6}

Simplify

C = \frac{arctan ( 6 )}{6} + \frac{πn}{6}

C = \frac{arctan ( 6 )}{6} + \frac{πn}{6}

C = \frac{arctan ( 6 )}{6} + \frac{πn}{6}

Show solutions in decimal form

C = \frac{1.40564 \dots}{6} + \frac{πn}{6}

\frac{3}{4} = tan (x)

cos (x) = - 3 + \frac{4}{cos ( x )}

sin (x) + 4 cos (x) + 5 = 0

sec (x) = - 5

sin (2 t - \frac{π}{5}) = - \frac{1}{3}

What is the general solution for 6=tan(6C) ?
The general solution for 6=tan(6C) is C=(1.40564…)/6+(pin)/6