What is the general solution for 0=tan(θ) ?

The general solution for 0=tan(θ) is θ=pin

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0=tan(θ)

0 = tan (θ)

θ = πn

Degrees

θ = 0^{\circ} + 18 0^{\circ} n

Solution steps

0 = tan (θ)

Switch sides

tan (θ) = 0

General solutions for

tan (θ) = 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}

θ = 0 + πn

θ = 0 + πn

Solve

θ = 0 + πn : θ = πn

θ = 0 + πn

0 + πn = πn

θ = πn

θ = πn

cos (θ) = \frac{4}{9}

- 6 cos (x) = 0

tan (x) 3 cot (x) = 5 sec (x)

10 cos (θ) = 5

x, cot (x) = - 1

What is the general solution for 0=tan(θ) ?
The general solution for 0=tan(θ) is θ=pin