What is the general solution for csc(x)=-7 ?

The general solution for csc(x)=-7 is x=-0.14334…+2pin,x=pi+0.14334…+2pin

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csc(x)=-7

csc (x) = - 7

x = - 0.14334 \dots + 2 πn, x = π + 0.14334 \dots + 2 πn

Degrees

x = - 8.21321 \dots^{\circ} + 36 0^{\circ} n, x = 188.21321 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = - 7

Apply trig inverse properties

csc (x) = - 7

General solutions for

csc (x) = - 7

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

x = arccsc (- 7) + 2 πn, x = π + arccsc (7) + 2 πn

x = arccsc (- 7) + 2 πn, x = π + arccsc (7) + 2 πn

Show solutions in decimal form

x = - 0.14334 \dots + 2 πn, x = π + 0.14334 \dots + 2 πn

cos (4 t) + sin (4 t) = 0

cos (x - 3 0^{\circ}) = 0.22

sin (4 x - 22) = cos (6 x - 13)

cos (2 x) + 1 = 2

csc (x) = - \frac{3}{5}

What is the general solution for csc(x)=-7 ?
The general solution for csc(x)=-7 is x=-0.14334…+2pin,x=pi+0.14334…+2pin