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 = 165.52248 \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

csc (x) = 3

2 - 8 cos^{2} (t) = 0

cos (θ) + 1 = 1

9 cos (x) tan (x) = - 8 tan (x)

2 sin^{2} (x) + cos (x) = 2

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