What is the general solution for csc(x)=3 ?

The general solution for csc(x)=3 is x=0.33983…+2pin,x=pi-0.33983…+2pin

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csc(x)=3

csc (x) = 3

x = 0.33983 \dots + 2 πn, x = π - 0.33983 \dots + 2 πn

Degrees

x = 19.47122 \dots^{\circ} + 36 0^{\circ} n, x = 160.52877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = 3

Apply trig inverse properties

csc (x) = 3

General solutions for

csc (x) = 3

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

x = arccsc (3) + 2 πn, x = π - arccsc (3) + 2 πn

x = arccsc (3) + 2 πn, x = π - arccsc (3) + 2 πn

Show solutions in decimal form

x = 0.33983 \dots + 2 πn, x = π - 0.33983 \dots + 2 πn

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

sin (x) cos (x) = - 9 cos (x)

What is the general solution for csc(x)=3 ?
The general solution for csc(x)=3 is x=0.33983…+2pin,x=pi-0.33983…+2pin