What is the general solution for csc(θ)=-13/5 ?

The general solution for csc(θ)=-13/5 is θ=-0.39479…+2pin,θ=pi+0.39479…+2pin

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csc(θ)=-13/5

csc (θ) = - \frac{13}{5}

θ = - 0.39479 \dots + 2 πn, θ = π + 0.39479 \dots + 2 πn

Degrees

θ = - 22.61986 \dots^{\circ} + 36 0^{\circ} n, θ = 202.61986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = - \frac{13}{5}

Apply trig inverse properties

csc (θ) = - \frac{13}{5}

General solutions for

csc (θ) = - \frac{13}{5}

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

θ = arccsc (- \frac{13}{5}) + 2 πn, θ = π + arccsc (\frac{13}{5}) + 2 πn

θ = arccsc (- \frac{13}{5}) + 2 πn, θ = π + arccsc (\frac{13}{5}) + 2 πn

Show solutions in decimal form

θ = - 0.39479 \dots + 2 πn, θ = π + 0.39479 \dots + 2 πn

17 sin (θ + 61. 9^{\circ}) = k

cos (x) = 0.74

sin^{2} (x) = 1 - 2 cos^{2} (x)

\frac{sin ( x )}{cos ( x )} = \frac{sin ( x )}{1 + cot ^{2} ( x )}

3 + 8 cos (2 θ) = - 1

What is the general solution for csc(θ)=-13/5 ?
The general solution for csc(θ)=-13/5 is θ=-0.39479…+2pin,θ=pi+0.39479…+2pin