What is the general solution for cot(x)=-0.456 ?

The general solution for cot(x)=-0.456 is x=1.99862…+pin

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cot(x)=-0.456

cot (x) = - 0.456

x = 1.99862 \dots + πn

Degrees

x = 114.51298 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = - 0.456

Apply trig inverse properties

cot (x) = - 0.456

General solutions for

cot (x) = - 0.456

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

x = arccot (- 0.456) + πn

x = arccot (- 0.456) + πn

Show solutions in decimal form

x = 1.99862 \dots + πn

4 tan^{2} (θ) - 2 tan (θ) + 3 = - 7 tan (θ) + 2

- 2 = csc (θ)

2 cot (x) = csc^{2} (x)

2 csc (2 x) cot (2 x) = 0

3 cos (y) + cot (y) = 0

What is the general solution for cot(x)=-0.456 ?
The general solution for cot(x)=-0.456 is x=1.99862…+pin