What is the general solution for csc(θ)=1.9 ?

The general solution for csc(θ)=1.9 is θ=0.55426…+2pin,θ=pi-0.55426…+2pin

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csc(θ)=1.9

csc (θ) = 1.9

θ = 0.55426 \dots + 2 πn, θ = π - 0.55426 \dots + 2 πn

Solution steps

csc (θ) = 1.9

Apply trig inverse properties

θ = arccsc (1.9) + 2 πn, θ = π - arccsc (1.9) + 2 πn

Show solutions in decimal form

θ = 0.55426 \dots + 2 πn, θ = π - 0.55426 \dots + 2 πn

4 cos^{2} (x) = 4 - 2 sin^{2} (x)

sin (x) = 2 cos (\frac{x}{2})

2 sin (x) + \frac{1}{sin ( x )} = 3

cos (x - \frac{π}{4}) = \frac{3}{2}

sec (θ) = 3, sin (θ) < 0

What is the general solution for csc(θ)=1.9 ?
The general solution for csc(θ)=1.9 is θ=0.55426…+2pin,θ=pi-0.55426…+2pin