What is the general solution for tan(θ)=(-1)/2 ?

The general solution for tan(θ)=(-1)/2 is θ=-0.46364…+pin

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tan(θ)=(-1)/2

tan (θ) = \frac{- 1}{2}

θ = - 0.46364 \dots + πn

Degrees

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

Solution steps

tan (θ) = \frac{- 1}{2}

Apply the fraction rule:

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

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

sin (α) = \frac{1}{2}

3 sin (3 x) + 3 cos (3 x) = 0

tan (θ) = - \frac{4}{5}, \frac{π}{2} < θ < π

cos (2 x) = sin (x), 0 \leq x < 2 π

θ, x = sec (θ)

What is the general solution for tan(θ)=(-1)/2 ?
The general solution for tan(θ)=(-1)/2 is θ=-0.46364…+pin