What is the general solution for tan(θ)=(-1)/6 ?

The general solution for tan(θ)=(-1)/6 is θ=-0.16514…+pin

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tan(θ)=(-1)/6

tan (θ) = \frac{- 1}{6}

θ = - 0.16514 \dots + πn

Degrees

θ = - 9.46232 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{- 1}{6}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

tan (θ) = - \frac{1}{6}

Apply trig inverse properties

tan (θ) = - \frac{1}{6}

General solutions for

tan (θ) = - \frac{1}{6}

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

θ = arctan (- \frac{1}{6}) + πn

θ = arctan (- \frac{1}{6}) + πn

Show solutions in decimal form

θ = - 0.16514 \dots + πn

sin (3 v) = sin (1 8^{\circ})

tan (x) \cdot sin (x) - 3 sin (x) = 0

sin (θ) = \frac{( - \frac{2}{7} )}{2}

22 cos (θ) - 2 = 0

tan (x) = \frac{22}{326}

What is the general solution for tan(θ)=(-1)/6 ?
The general solution for tan(θ)=(-1)/6 is θ=-0.16514…+pin