What is the general solution for 3cot(x)-1=0 ?

The general solution for 3cot(x)-1=0 is x=1.24904…+pin

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3cot(x)-1=0

3 cot (x) - 1 = 0

x = 1.24904 \dots + πn

Solution steps

3 cot (x) - 1 = 0

Move

1

to the right side

3 cot (x) = 1

Divide both sides by

3

cot (x) = \frac{1}{3}

Apply trig inverse properties

x = arccot (\frac{1}{3}) + πn

Show solutions in decimal form

x = 1.24904 \dots + πn

4 sin (3 θ) = 0

tan (2 θ) + 2 cos (θ) = 0, 0 \leq θ < 2 π

- \frac{3}{2} = cos (θ)

tan (\frac{5 π}{4} + x) + tan (\frac{5 π}{4} - x) = 4

- 8 cos (8 x) = 0

What is the general solution for 3cot(x)-1=0 ?
The general solution for 3cot(x)-1=0 is x=1.24904…+pin