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

Solution steps

tan (θ) = \frac{5}{- 2}

Apply the fraction rule:

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

tan (θ) = - \frac{5}{2}

Apply trig inverse properties

θ = arctan (- \frac{5}{2}) + πn

Show solutions in decimal form

θ = - 1.19028 \dots + πn

sin (x + \frac{π}{2}) = \frac{1}{2}

8 cos (x) + 4 = 0

6 = 6 (1 - sin (θ))

tan (x) = 3, - π \leq x < π

4 cos (x) - 4 sin (x) = 0

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