What is the general solution for csc(θ)= 5/3 ?

The general solution for csc(θ)= 5/3 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin

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csc(θ)= 5/3

csc (θ) = \frac{5}{3}

θ = 0.64350 \dots + 2 πn, θ = π - 0.64350 \dots + 2 πn

Solution steps

csc (θ) = \frac{5}{3}

Apply trig inverse properties

θ = arccsc (\frac{5}{3}) + 2 πn, θ = π - arccsc (\frac{5}{3}) + 2 πn

Show solutions in decimal form

θ = 0.64350 \dots + 2 πn, θ = π - 0.64350 \dots + 2 πn

- 5 sec (x) tan (x) = 0

sin (3 0^{\circ}) = cos (x)

cos (9 x) (2 cos (x) + 1) = 0

cos (2 x - \frac{π}{4}) = 0, 0 \leq x \leq 2 π

8 - sin (θ) = cos (2 θ)

What is the general solution for csc(θ)= 5/3 ?
The general solution for csc(θ)= 5/3 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin