What is the general solution for csc(A)=1.2384 ?

The general solution for csc(A)=1.2384 is A=0.93989…+2pin,A=pi-0.93989…+2pin

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csc(A)=1.2384

csc (A) = 1.2384

A = 0.93989 \dots + 2 πn, A = π - 0.93989 \dots + 2 πn

Degrees

A = 53.85176 \dots^{\circ} + 36 0^{\circ} n, A = 126.14823 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (A) = 1.2384

Apply trig inverse properties

csc (A) = 1.2384

General solutions for

csc (A) = 1.2384

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

A = arccsc (1.2384) + 2 πn, A = π - arccsc (1.2384) + 2 πn

A = arccsc (1.2384) + 2 πn, A = π - arccsc (1.2384) + 2 πn

Show solutions in decimal form

A = 0.93989 \dots + 2 πn, A = π - 0.93989 \dots + 2 πn

cos (8 t) cos (5 t) = - sin (8 t) sin (5 t)

2 cos (θ) - 3 = - 5, 0 \leq θ < 2 π

2 tan (x) + 1 = 0

2 cos (3 x) + cos (2 x) + 1 = 0, 0 \leq x \leq 2 π

tan^{2} (x) = 3

What is the general solution for csc(A)=1.2384 ?
The general solution for csc(A)=1.2384 is A=0.93989…+2pin,A=pi-0.93989…+2pin