What is the general solution for cot(2θ)= 3/4 ?

The general solution for cot(2θ)= 3/4 is θ=(0.92729…)/2+(pin)/2

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cot(2θ)= 3/4

cot (2 θ) = \frac{3}{4}

θ = \frac{0.92729 \dots}{2} + \frac{πn}{2}

Degrees

θ = 26.56505 \dots^{\circ} + 9 0^{\circ} n

Solution steps

cot (2 θ) = \frac{3}{4}

Apply trig inverse properties

cot (2 θ) = \frac{3}{4}

General solutions for

cot (2 θ) = \frac{3}{4}

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

2 θ = arccot (\frac{3}{4}) + πn

2 θ = arccot (\frac{3}{4}) + πn

Solve

2 θ = arccot (\frac{3}{4}) + πn : θ = \frac{arccot ( \frac{3}{4} )}{2} + \frac{πn}{2}

2 θ = arccot (\frac{3}{4}) + πn

Divide both sides by

2

2 θ = arccot (\frac{3}{4}) + πn

Divide both sides by

2

\frac{2 θ}{2} = \frac{arccot ( \frac{3}{4} )}{2} + \frac{πn}{2}

Simplify

θ = \frac{arccot ( \frac{3}{4} )}{2} + \frac{πn}{2}

θ = \frac{arccot ( \frac{3}{4} )}{2} + \frac{πn}{2}

θ = \frac{arccot ( \frac{3}{4} )}{2} + \frac{πn}{2}

Show solutions in decimal form

θ = \frac{0.92729 \dots}{2} + \frac{πn}{2}

x, 0 = 4 - sec^{2} (x)

tan (x) = - \frac{4}{33}

2 cot^{2} (x) - 11 csc (x) = - 14

5 = tan (x)

cot (x) = 0, 0 \leq x \leq 2 π

What is the general solution for cot(2θ)= 3/4 ?
The general solution for cot(2θ)= 3/4 is θ=(0.92729…)/2+(pin)/2