What is the general solution for cot(x/7)=sqrt(12) ?

The general solution for cot(x/7)=sqrt(12) is x=7*0.28103…+7pin

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cot(x/7)=sqrt(12)

cot (\frac{x}{7}) = 12

x = 7 \cdot 0.28103 \dots + 7 πn

Solution steps

cot (\frac{x}{7}) = 12

Simplify

12 : 23

Apply trig inverse properties

\frac{x}{7} = arccot (23) + πn

Solve

\frac{x}{7} = arccot (23) + πn : x = 7 arccot (23) + 7 πn

x = 7 arccot (23) + 7 πn

Show solutions in decimal form

x = 7 \cdot 0.28103 \dots + 7 πn

sin (θ) = \frac{4}{9}

y, x = sec (y)

2 cos^{2} (θ) - cos (θ) - 4 = - 6 cos (θ) - 6

sin (x) + 2 cos (x) = 1

4 tan (2 x) - 4 cot (x) = 0

What is the general solution for cot(x/7)=sqrt(12) ?
The general solution for cot(x/7)=sqrt(12) is x=7*0.28103…+7pin