What is the general solution for csc(θ)=2.8 ?

The general solution for csc(θ)=2.8 is θ=0.36520…+2pin,θ=pi-0.36520…+2pin

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csc(θ)=2.8

csc (θ) = 2.8

θ = 0.36520 \dots + 2 πn, θ = π - 0.36520 \dots + 2 πn

Solution steps

csc (θ) = 2.8

Apply trig inverse properties

θ = arccsc (2.8) + 2 πn, θ = π - arccsc (2.8) + 2 πn

Show solutions in decimal form

θ = 0.36520 \dots + 2 πn, θ = π - 0.36520 \dots + 2 πn

cos (x) = - \frac{2}{5}

2 sec (x) - 7 = 0

3 tan^{2} (x) + 5 = 7 sec (x)

cos (x) (2 cos (x) - 3) = 0

cos (θ) = (\frac{sin ( 6 0 ^{\circ} )}{1.28})

What is the general solution for csc(θ)=2.8 ?
The general solution for csc(θ)=2.8 is θ=0.36520…+2pin,θ=pi-0.36520…+2pin