What is the general solution for csc(θ)= 17/8 ?

The general solution for csc(θ)= 17/8 is θ=0.48995…+2pin,θ=pi-0.48995…+2pin

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csc(θ)= 17/8

csc (θ) = \frac{17}{8}

θ = 0.48995 \dots + 2 πn, θ = π - 0.48995 \dots + 2 πn

Degrees

θ = 28.07248 \dots^{\circ} + 36 0^{\circ} n, θ = 151.92751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = \frac{17}{8}

Apply trig inverse properties

csc (θ) = \frac{17}{8}

General solutions for

csc (θ) = \frac{17}{8}

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

θ = arccsc (\frac{17}{8}) + 2 πn, θ = π - arccsc (\frac{17}{8}) + 2 πn

θ = arccsc (\frac{17}{8}) + 2 πn, θ = π - arccsc (\frac{17}{8}) + 2 πn

Show solutions in decimal form

θ = 0.48995 \dots + 2 πn, θ = π - 0.48995 \dots + 2 πn

\frac{π}{3} cos (\frac{π x}{6}) = 0, x

cos (θ) = \frac{4}{3.92739}

sin (x) + sin (\frac{π}{2} - x) = 0

(- \frac{1}{4}) + cos^{2} (x) = 1

x, e^{s i n (x)} = e^{- s i n (x)}

What is the general solution for csc(θ)= 17/8 ?
The general solution for csc(θ)= 17/8 is θ=0.48995…+2pin,θ=pi-0.48995…+2pin