What is the general solution for cot(2x)=1.732 ?

The general solution for cot(2x)=1.732 is x=(0.52361…)/2+(pin)/2

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cot(2x)=1.732

cot (2 x) = 1.732

x = \frac{0.52361 \dots}{2} + \frac{πn}{2}

Degrees

x = 15.00036 \dots^{\circ} + 9 0^{\circ} n

Solution steps

cot (2 x) = 1.732

Apply trig inverse properties

cot (2 x) = 1.732

General solutions for

cot (2 x) = 1.732

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

2 x = arccot (1.732) + πn

2 x = arccot (1.732) + πn

Solve

2 x = arccot (1.732) + πn : x = \frac{arccot ( 1.732 )}{2} + \frac{πn}{2}

2 x = arccot (1.732) + πn

Divide both sides by

2

2 x = arccot (1.732) + πn

Divide both sides by

2

\frac{2 x}{2} = \frac{arccot ( 1.732 )}{2} + \frac{πn}{2}

Simplify

x = \frac{arccot ( 1.732 )}{2} + \frac{πn}{2}

x = \frac{arccot ( 1.732 )}{2} + \frac{πn}{2}

x = \frac{arccot ( 1.732 )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = \frac{0.52361 \dots}{2} + \frac{πn}{2}

What is the general solution for cot(2x)=1.732 ?
The general solution for cot(2x)=1.732 is x=(0.52361…)/2+(pin)/2