What is the general solution for tan(θ)= 12/6 ?

The general solution for tan(θ)= 12/6 is θ=1.10714…+pin

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tan(θ)= 12/6

tan (θ) = \frac{12}{6}

θ = 1.10714 \dots + πn

Degrees

θ = 63.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{12}{6}

Divide the numbers:

\frac{12}{6} = 2

tan (θ) = 2

Apply trig inverse properties

tan (θ) = 2

General solutions for

tan (θ) = 2

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

θ = arctan (2) + πn

θ = arctan (2) + πn

Show solutions in decimal form

θ = 1.10714 \dots + πn

tan (θ) = \frac{12}{7}

2 sin (x) + \frac{3}{4} = \frac{3}{2}, (0, 2 π)

2 cos (2 x) + sin (x) - 4 = 0

\frac{1}{cos ( x )} - 2 = 0

6 cos (6 x - \frac{π}{4}) + 3 = 0

What is the general solution for tan(θ)= 12/6 ?
The general solution for tan(θ)= 12/6 is θ=1.10714…+pin