What is the general solution for 5cot(θ)=-6 ?

The general solution for 5cot(θ)=-6 is θ=2.44685…+pin

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5cot(θ)=-6

5 cot (θ) = - 6

θ = 2.44685 \dots + πn

Degrees

θ = 140.19442 \dots^{\circ} + 18 0^{\circ} n

Solution steps

5 cot (θ) = - 6

Divide both sides by

5

5 cot (θ) = - 6

Divide both sides by

5

\frac{5 cot ( θ )}{5} = \frac{- 6}{5}

Simplify

cot (θ) = - \frac{6}{5}

cot (θ) = - \frac{6}{5}

Apply trig inverse properties

cot (θ) = - \frac{6}{5}

General solutions for

cot (θ) = - \frac{6}{5}

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

θ = arccot (- \frac{6}{5}) + πn

θ = arccot (- \frac{6}{5}) + πn

Show solutions in decimal form

θ = 2.44685 \dots + πn

cos (3 x - 9 x) = 0

7 sin^{2} (θ) + 15 sin (θ) + 8 = 0

2 sin^{23} (x) + sin^{26} (x) - 2 = 0

arccos (3 x) = 1

sin (θ) - cos (θ) = \frac{3}{2}, θ [\frac{3 π}{2}, 2 π]

What is the general solution for 5cot(θ)=-6 ?
The general solution for 5cot(θ)=-6 is θ=2.44685…+pin