What is the general solution for tan(θ)=-5/2 ?

The general solution for tan(θ)=-5/2 is θ=-1.19028…+pin

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tan(θ)=-5/2

tan (θ) = - \frac{5}{2}

θ = - 1.19028 \dots + πn

Degrees

θ = - 68.19859 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - \frac{5}{2}

Apply trig inverse properties

tan (θ) = - \frac{5}{2}

General solutions for

tan (θ) = - \frac{5}{2}

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

θ = arctan (- \frac{5}{2}) + πn

θ = arctan (- \frac{5}{2}) + πn

Show solutions in decimal form

θ = - 1.19028 \dots + πn

- 1 = cos (t) + cos (2 t)

15 cos (3 x) = 0

- \frac{1}{2} = sin (2 x)

72 (- 3 cos^{2} (x) sin^{2} (x) + cos^{4} (x)) = 0

sin (\frac{x}{5}) = \frac{2}{2}

What is the general solution for tan(θ)=-5/2 ?
The general solution for tan(θ)=-5/2 is θ=-1.19028…+pin