What is the general solution for cot(θ)=3 ?

The general solution for cot(θ)=3 is θ=0.32175…+pin

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cot(θ)=3

cot (θ) = 3

θ = 0.32175 \dots + πn

Degrees

θ = 18.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = 3

Apply trig inverse properties

cot (θ) = 3

General solutions for

cot (θ) = 3

cot (x) = a \Rightarrow x = arccot (a) + πn

θ = arccot (3) + πn

θ = arccot (3) + πn

Show solutions in decimal form

θ = 0.32175 \dots + πn

sin^{2} (x) + 4 sin (x) = 0

(tan (x) - 1) (sec (x) - 1) = 0

4 - 8 sin^{2} (x) = 0

1 - sin (θ) = 3 cos (θ)

3 tan (θ) + 3 = 0

What is the general solution for cot(θ)=3 ?
The general solution for cot(θ)=3 is θ=0.32175…+pin