What is the general solution for tan(θ)=-0.5 ?

The general solution for tan(θ)=-0.5 is θ=-0.46364…+pin

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tan(θ)=-0.5

tan (θ) = - 0.5

θ = - 0.46364 \dots + πn

Degrees

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

Solution steps

tan (θ) = - 0.5

Apply trig inverse properties

tan (θ) = - 0.5

General solutions for

tan (θ) = - 0.5

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

θ = arctan (- 0.5) + πn

θ = arctan (- 0.5) + πn

Show solutions in decimal form

θ = - 0.46364 \dots + πn

cos (x) \cdot sin (x) - 2 cos (x) = 0

sec (4 x) - \frac{2}{3} = 0

cos (θ) = 0.3, cos (2 θ)

(- \frac{2}{3})^{2} + 1 = sec (θ)

1 = sech^{2} (x)

What is the general solution for tan(θ)=-0.5 ?
The general solution for tan(θ)=-0.5 is θ=-0.46364…+pin