What is the general solution for tan(θ)=-6 ?

The general solution for tan(θ)=-6 is θ=-1.40564…+pin

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tan(θ)=-6

tan (θ) = - 6

θ = - 1.40564 \dots + πn

Degrees

θ = - 80.53767 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - 6

Apply trig inverse properties

tan (θ) = - 6

General solutions for

tan (θ) = - 6

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

θ = arctan (- 6) + πn

θ = arctan (- 6) + πn

Show solutions in decimal form

θ = - 1.40564 \dots + πn

8 sin (x) tan (x) - 7 tan (x) = 0

cos (x) - sin (2 x) = cos (3 x) - sin (4 x)

cos^{2} (θ) = 2 + 2 sin (θ)

cos (x) - 2 cos (x) sin (x) = 0

2 sec^{2} (x) = 0

What is the general solution for tan(θ)=-6 ?
The general solution for tan(θ)=-6 is θ=-1.40564…+pin