What is the general solution for tan(θ)=-12/5 ?

The general solution for tan(θ)=-12/5 is θ=-1.17600…+pin

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tan(θ)=-12/5

tan (θ) = - \frac{12}{5}

θ = - 1.17600 \dots + πn

Degrees

θ = - 67.38013 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - \frac{12}{5}

Apply trig inverse properties

tan (θ) = - \frac{12}{5}

General solutions for

tan (θ) = - \frac{12}{5}

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

θ = arctan (- \frac{12}{5}) + πn

θ = arctan (- \frac{12}{5}) + πn

Show solutions in decimal form

θ = - 1.17600 \dots + πn

x, sin (2 x) = sin (x)

- 3 cos (2 θ) + 7 cos (θ) - 10 = - 5

3 cos (2 θ) = - 9 cos (θ) - 6

5 sin (x) cos (x) + cos (x) = 0

1 + cos (θ) = 2 sin^{2} (θ)

What is the general solution for tan(θ)=-12/5 ?
The general solution for tan(θ)=-12/5 is θ=-1.17600…+pin