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

The general solution for tan(θ)-sqrt(3)=0 is θ= pi/3+pin

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tan(θ)-sqrt(3)=0

tan (θ) - 3 = 0

θ = \frac{π}{3} + πn

Degrees

θ = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) - 3 = 0

Move

3

to the right side

tan (θ) - 3 = 0

Add

3

to both sides

tan (θ) - 3 + 3 = 0 + 3

Simplify

tan (θ) = 3

tan (θ) = 3

General solutions for

tan (θ) = 3

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 = \frac{π}{3} + πn

θ = \frac{π}{3} + πn

cos (2 x) = - \frac{3}{2}

cos (9)

\frac{1}{1 + tan ^{2} ( x )} + \frac{1}{1 + cot ^{2} ( x )} = 1

sin (3 x) = 1

cos (2 x) + cos (x) = 0

What is the general solution for tan(θ)-sqrt(3)=0 ?
The general solution for tan(θ)-sqrt(3)=0 is θ= pi/3+pin