What is the general solution for tan(θ)=-8/5 ?

The general solution for tan(θ)=-8/5 is θ=-1.01219…+pin

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tan(θ)=-8/5

tan (θ) = - \frac{8}{5}

θ = - 1.01219 \dots + πn

Degrees

θ = - 57.99461 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - \frac{8}{5}

Apply trig inverse properties

tan (θ) = - \frac{8}{5}

General solutions for

tan (θ) = - \frac{8}{5}

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

θ = arctan (- \frac{8}{5}) + πn

θ = arctan (- \frac{8}{5}) + πn

Show solutions in decimal form

θ = - 1.01219 \dots + πn

sin (θ) - 0.1 \cdot cos (θ) = 0.56632

3 = 2 cos^{2} (x) + 3 sin (x)

- 6 cos^{2} (θ) = 0

arctan (x) = 60

tan (x) = - \frac{24}{7} tan (2 x)

What is the general solution for tan(θ)=-8/5 ?
The general solution for tan(θ)=-8/5 is θ=-1.01219…+pin