What is the general solution for tan(w)-3tan(w)=0 ?

The general solution for tan(w)-3tan(w)=0 is w=pin

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tan(w)-3tan(w)=0

tan (w) - 3 tan (w) = 0

w = πn

Degrees

w = 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (w) - 3 tan (w) = 0

Simplify

tan (w) - 3 tan (w) : - 2 tan (w)

tan (w) - 3 tan (w)

Add similar elements:

tan (w) - 3 tan (w) = - 2 tan (w)

= - 2 tan (w)

- 2 tan (w) = 0

Divide both sides by

- 2

- 2 tan (w) = 0

Divide both sides by

- 2

\frac{- 2 tan ( w )}{- 2} = \frac{0}{- 2}

Simplify

tan (w) = 0

tan (w) = 0

General solutions for

tan (w) = 0

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

w = 0 + πn

w = 0 + πn

Solve

w = 0 + πn : w = πn

w = 0 + πn

0 + πn = πn

w = πn

w = πn

tan (φ) = - \frac{1}{2}

cos (θ) = \frac{1}{10}

2 = 2 sin (x)

cos^{2} (θ) + 2 cos (θ) + 1 = 0, 0 \leq θ \leq 2 π

cot (θ) - 3 = 0, 0 \leq θ \leq 2 π

What is the general solution for tan(w)-3tan(w)=0 ?
The general solution for tan(w)-3tan(w)=0 is w=pin