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

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

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cot(x)=-1/2

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

x = 2.03444 \dots + πn

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

x = arccot (- \frac{1}{2}) + πn

x = arccot (- \frac{1}{2}) + πn

Show solutions in decimal form

x = 2.03444 \dots + πn

43 sin (3 θ + 20) = 4 cos (3 θ + 20)

tan (x) = \frac{300}{400}

tan^{2} (x) - tan (x) = 0, (180, 270)

2 sin^{2} (θ) + 3 cos (θ) - 3 = 0

3 sin (x) tan (x) + 3 sin (x) = 0

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