What is the general solution for tan(θ)= 6/14 ?

The general solution for tan(θ)= 6/14 is θ=0.40489…+pin

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tan(θ)= 6/14

tan (θ) = \frac{6}{14}

θ = 0.40489 \dots + πn

Degrees

θ = 23.19859 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{6}{14}

Cancel the common factor:

2

tan (θ) = \frac{3}{7}

Apply trig inverse properties

tan (θ) = \frac{3}{7}

General solutions for

tan (θ) = \frac{3}{7}

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

θ = arctan (\frac{3}{7}) + πn

θ = arctan (\frac{3}{7}) + πn

Show solutions in decimal form

θ = 0.40489 \dots + πn

tan (θ) = \frac{6}{15}

tan (x) = \frac{10}{3}

csc^{2} (x) - csc (x) - 2 = 0, - π \leq x \leq π

θ, r = v cos (θ) (\frac{2 v sin ( θ )}{g})

5 = 5 + 4 cos (θ)

What is the general solution for tan(θ)= 6/14 ?
The general solution for tan(θ)= 6/14 is θ=0.40489…+pin