What is the general solution for tan(x)=-3 ?

The general solution for tan(x)=-3 is x=-1.24904…+pin

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tan(x)=-3

tan (x) = - 3

x = - 1.24904 \dots + πn

Degrees

x = - 71.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = - 3

Apply trig inverse properties

tan (x) = - 3

General solutions for

tan (x) = - 3

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

x = arctan (- 3) + πn

x = arctan (- 3) + πn

Show solutions in decimal form

x = - 1.24904 \dots + πn

sec (θ) = - 2

tan^{2} (θ) = \frac{3}{2} sec (θ)

cot^{2} (x) - 3 = 0

tan (θ) = - 2

sec (x) + 1 = 0

What is the general solution for tan(x)=-3 ?
The general solution for tan(x)=-3 is x=-1.24904…+pin