What is the general solution for csc(x)=-3.2 ?

The general solution for csc(x)=-3.2 is x=-0.31782…+2pin,x=pi+0.31782…+2pin

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csc(x)=-3.2

csc (x) = - 3.2

x = - 0.31782 \dots + 2 πn, x = π + 0.31782 \dots + 2 πn

Degrees

x = - 18.20995 \dots^{\circ} + 36 0^{\circ} n, x = 198.20995 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = - 3.2

Apply trig inverse properties

csc (x) = - 3.2

General solutions for

csc (x) = - 3.2

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

x = arccsc (- 3.2) + 2 πn, x = π + arccsc (3.2) + 2 πn

x = arccsc (- 3.2) + 2 πn, x = π + arccsc (3.2) + 2 πn

Show solutions in decimal form

x = - 0.31782 \dots + 2 πn, x = π + 0.31782 \dots + 2 πn

cos (A) = \frac{12}{37}

2 \cdot sin^{2} (θ) = 3 (1 - cos (θ))

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

1.5 = 6 sin (x)

\frac{2 sin ( x ) - 1}{3 \cdot cos ( x )} = 0

What is the general solution for csc(x)=-3.2 ?
The general solution for csc(x)=-3.2 is x=-0.31782…+2pin,x=pi+0.31782…+2pin