What is the general solution for tan(180-θ)=3sqrt(3) ?

The general solution for tan(180-θ)=3sqrt(3) is θ=180-180n-1.38067…

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tan(180-θ)=3sqrt(3)

tan (18 0^{\circ} - θ) = 33

θ = 18 0^{\circ} - 18 0^{\circ} n - 1.38067 \dots

Solution steps

tan (18 0^{\circ} - θ) = 33

Apply trig inverse properties

18 0^{\circ} - θ = arctan (33) + 18 0^{\circ} n

Solve

18 0^{\circ} - θ = arctan (33) + 18 0^{\circ} n : θ = 18 0^{\circ} - 18 0^{\circ} n - arctan (33)

θ = 18 0^{\circ} - 18 0^{\circ} n - arctan (33)

Show solutions in decimal form

θ = 18 0^{\circ} - 18 0^{\circ} n - 1.38067 \dots

tan (x) = \frac{1}{cos ^{2} ( x )}

arccsc (2 x) = \frac{π}{6}

2 csc (θ) = 2 cot (θ) + 3 csc (θ)

sin (\frac{1}{2} x) = - 1

9 cos^{2} (x) tan (x) = 4 tan (x)

What is the general solution for tan(180-θ)=3sqrt(3) ?
The general solution for tan(180-θ)=3sqrt(3) is θ=180-180n-1.38067…