What is the general solution for csc(θ)=-5/2 ?

The general solution for csc(θ)=-5/2 is θ=-0.41151…+2pin,θ=pi+0.41151…+2pin

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csc(θ)=-5/2

csc (θ) = - \frac{5}{2}

θ = - 0.41151 \dots + 2 πn, θ = π + 0.41151 \dots + 2 πn

Solution steps

csc (θ) = - \frac{5}{2}

Apply trig inverse properties

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

Show solutions in decimal form

θ = - 0.41151 \dots + 2 πn, θ = π + 0.41151 \dots + 2 πn

\frac{3}{3} = tan (θ)

x, tan (x) + 3 = 0

cos (x) = \frac{4.1}{7.9}

tan (2 x) - 2 sin (x) = 0

sin^{2} (x) - 2 sin (x) + 3 = 0

What is the general solution for csc(θ)=-5/2 ?
The general solution for csc(θ)=-5/2 is θ=-0.41151…+2pin,θ=pi+0.41151…+2pin