What is the general solution for csc(θ)+1.597=0 ?

The general solution for csc(θ)+1.597=0 is θ=-0.67663…+2pin,θ=pi+0.67663…+2pin

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csc(θ)+1.597=0

csc (θ) + 1.597 = 0

θ = - 0.67663 \dots + 2 πn, θ = π + 0.67663 \dots + 2 πn

Degrees

θ = - 38.76841 \dots^{\circ} + 36 0^{\circ} n, θ = 218.76841 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) + 1.597 = 0

Move

1.597

to the right side

csc (θ) + 1.597 = 0

Subtract

1.597

from both sides

csc (θ) + 1.597 - 1.597 = 0 - 1.597

Simplify

csc (θ) = - 1.597

csc (θ) = - 1.597

Apply trig inverse properties

csc (θ) = - 1.597

General solutions for

csc (θ) = - 1.597

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

θ = arccsc (- 1.597) + 2 πn, θ = π + arccsc (1.597) + 2 πn

θ = arccsc (- 1.597) + 2 πn, θ = π + arccsc (1.597) + 2 πn

Show solutions in decimal form

θ = - 0.67663 \dots + 2 πn, θ = π + 0.67663 \dots + 2 πn

9 cos^{2} (x) = 1

csc (θ) = - 5

- 50 \cdot cos (x) - 86.6025400000000 \dots \cdot sin (x) = 50

3 cos (2 θ) + sin (θ) - 3 = - 2

cot (x) cos^{2} (x) = cot (x)

What is the general solution for csc(θ)+1.597=0 ?
The general solution for csc(θ)+1.597=0 is θ=-0.67663…+2pin,θ=pi+0.67663…+2pin