What is the general solution for csc(x)=-4 ?

The general solution for csc(x)=-4 is x=-0.25268…+2pin,x=pi+0.25268…+2pin

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csc(x)=-4

csc (x) = - 4

x = - 0.25268 \dots + 2 πn, x = π + 0.25268 \dots + 2 πn

Degrees

x = - 14.47751 \dots^{\circ} + 36 0^{\circ} n, x = 194.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = - 4

Apply trig inverse properties

csc (x) = - 4

General solutions for

csc (x) = - 4

csc (x) = - a \Rightarrow x = arccsc (- a) + 2 πn, x = π + arccsc (a) + 2 πn

x = arccsc (- 4) + 2 πn, x = π + arccsc (4) + 2 πn

x = arccsc (- 4) + 2 πn, x = π + arccsc (4) + 2 πn

Show solutions in decimal form

x = - 0.25268 \dots + 2 πn, x = π + 0.25268 \dots + 2 πn

tan (x) = - 3, - 27 0^{\circ} \leq x \leq 27 0^{\circ}

5 cos^{2} (θ) = - 13 cos (θ) + 6

- 3 sin (x) - cos (x) = 0

tan (θ) + sec (θ) = 1

6 sin (x) + 8 = 0

What is the general solution for csc(x)=-4 ?
The general solution for csc(x)=-4 is x=-0.25268…+2pin,x=pi+0.25268…+2pin