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

The general solution for cot(x)=sqrt(2) is x=0.61547…+pin

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cot(x)=sqrt(2)

cot (x) = 2

x = 0.61547 \dots + πn

Degrees

x = 35.26438 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = 2

Apply trig inverse properties

cot (x) = 2

General solutions for

cot (x) = 2

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

x = arccot (2) + πn

x = arccot (2) + πn

Show solutions in decimal form

x = 0.61547 \dots + πn

cos (θ) cot (θ) = - cos (θ)

tan (\frac{x}{2}) = - \frac{1}{3}

u, x = 2 cos (u) cos (v)

cos (θ) = cos (3 θ)

cot (3 θ) = 3

What is the general solution for cot(x)=sqrt(2) ?
The general solution for cot(x)=sqrt(2) is x=0.61547…+pin