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 (θ) = - \frac{1}{3}, \frac{3 π}{2} < θ < 2 π

4 cos (x) = 5 - 1

2 sin^{2} (θ) - 2 sin (θ) = 0

2 - cos (θ) = 2 + sin (θ)

sin (x) = 6757

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