What is the general solution for csc(θ)= 7/3 ?

The general solution for csc(θ)= 7/3 is θ=0.44291…+2pin,θ=pi-0.44291…+2pin

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csc(θ)= 7/3

csc (θ) = \frac{7}{3}

θ = 0.44291 \dots + 2 πn, θ = π - 0.44291 \dots + 2 πn

Degrees

θ = 25.37693 \dots^{\circ} + 36 0^{\circ} n, θ = 154.62306 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = \frac{7}{3}

Apply trig inverse properties

csc (θ) = \frac{7}{3}

General solutions for

csc (θ) = \frac{7}{3}

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

θ = arccsc (\frac{7}{3}) + 2 πn, θ = π - arccsc (\frac{7}{3}) + 2 πn

θ = arccsc (\frac{7}{3}) + 2 πn, θ = π - arccsc (\frac{7}{3}) + 2 πn

Show solutions in decimal form

θ = 0.44291 \dots + 2 πn, θ = π - 0.44291 \dots + 2 πn

6 sin (θ) = 3

2 = sec (x)

2 csc (θ) - 5 = 0

9 cos^{2} (θ) - 10 cos (θ) - 2 = - 7 cos (θ)

cos (4 x) + 1 = 0

What is the general solution for csc(θ)= 7/3 ?
The general solution for csc(θ)= 7/3 is θ=0.44291…+2pin,θ=pi-0.44291…+2pin