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

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

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cot(θ)=-6/5

cot (θ) = - \frac{6}{5}

θ = 2.44685 \dots + πn

Degrees

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

Solution steps

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

cot (x) cos (x) - cot (x) = 0

sec^{2} (θ) - 25 = 0

cos (6 x) = - 1

cos (a) = - \frac{3}{2}

8 sin (2 x) = 8 cos (x)

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