What is the general solution for cot(θ)=-1/2 ?

The general solution for cot(θ)=-1/2 is θ=2.03444…+pin

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cot(θ)=-1/2

cot (θ) = - \frac{1}{2}

θ = 2.03444 \dots + πn

Degrees

θ = 116.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = - \frac{1}{2}

Apply trig inverse properties

cot (θ) = - \frac{1}{2}

General solutions for

cot (θ) = - \frac{1}{2}

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

θ = arccot (- \frac{1}{2}) + πn

θ = arccot (- \frac{1}{2}) + πn

Show solutions in decimal form

θ = 2.03444 \dots + πn

sin (2 θ) + sin (θ) + 2 cos (θ) + 1 = 0, 0 \leq θ \leq 2 π

sin^{2} (t) = cos^{2} (t)

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

4 sin (x) + 3 cos (x) = 4

sin (θ) - cos (θ) = 0, 0 \leq θ \leq 2 π

What is the general solution for cot(θ)=-1/2 ?
The general solution for cot(θ)=-1/2 is θ=2.03444…+pin