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

The general solution for cot(x)=-3 is x=2.81984…+pin

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cot(x)=-3

cot (x) = - 3

x = 2.81984 \dots + πn

Degrees

x = 161.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = - 3

Apply trig inverse properties

cot (x) = - 3

General solutions for

cot (x) = - 3

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

x = arccot (- 3) + πn

x = arccot (- 3) + πn

Show solutions in decimal form

x = 2.81984 \dots + πn

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

10 sin (x) - 7 = 0

2 tan^{3} (x) - 6 tan (x) = 0, 0 \leq x \leq π

5 cos (x) = 5 cos (2 x)

cos (4 θ) = cos (2 θ)

What is the general solution for cot(x)=-3 ?
The general solution for cot(x)=-3 is x=2.81984…+pin