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

The general solution for tan(θ)= 6/12 is θ=0.46364…+pin

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tan(θ)= 6/12

tan (θ) = \frac{6}{12}

θ = 0.46364 \dots + πn

Degrees

θ = 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{6}{12}

Cancel the common factor:

6

tan (θ) = \frac{1}{2}

Apply trig inverse properties

tan (θ) = \frac{1}{2}

General solutions for

tan (θ) = \frac{1}{2}

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

θ = arctan (\frac{1}{2}) + πn

θ = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

θ = 0.46364 \dots + πn

(tan (x) + 1)^{2} + (1 + \frac{1}{tan ( x )})^{2} = 100

8 cos (x + 1 0^{\circ}) = 5

cos^{2} (x) + cos (- x) = 0

x, ln (y) + y^{2} = - cos (x)

tan (x) = 1.33

What is the general solution for tan(θ)= 6/12 ?
The general solution for tan(θ)= 6/12 is θ=0.46364…+pin