What is the general solution for cot(θ)=2 ?

The general solution for cot(θ)=2 is θ=0.46364…+pin

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cot(θ)=2

cot (θ) = 2

θ = 0.46364 \dots + πn

Degrees

θ = 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = 2

Apply trig inverse properties

cot (θ) = 2

General solutions for

cot (θ) = 2

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

θ = arccot (2) + πn

θ = arccot (2) + πn

Show solutions in decimal form

θ = 0.46364 \dots + πn

tan (t) = \frac{2}{3}

2 sin (x) tan (x) = - tan (x)

cos (2 x) cos (x) - sin (2 x) sin (x) = - \frac{3}{2}

sec (θ) = tan (θ) + cot (θ)

sec^{2} (x) = \frac{4}{3}, 0 \leq x \leq 2 π

What is the general solution for cot(θ)=2 ?
The general solution for cot(θ)=2 is θ=0.46364…+pin