What is the general solution for csc(θ)= 13/6 ?

The general solution for csc(θ)= 13/6 is θ=0.47972…+2pin,θ=pi-0.47972…+2pin

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csc(θ)= 13/6

csc (θ) = \frac{13}{6}

θ = 0.47972 \dots + 2 πn, θ = π - 0.47972 \dots + 2 πn

Degrees

θ = 27.48642 \dots^{\circ} + 36 0^{\circ} n, θ = 152.51357 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = \frac{13}{6}

Apply trig inverse properties

csc (θ) = \frac{13}{6}

General solutions for

csc (θ) = \frac{13}{6}

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

θ = arccsc (\frac{13}{6}) + 2 πn, θ = π - arccsc (\frac{13}{6}) + 2 πn

θ = arccsc (\frac{13}{6}) + 2 πn, θ = π - arccsc (\frac{13}{6}) + 2 πn

Show solutions in decimal form

θ = 0.47972 \dots + 2 πn, θ = π - 0.47972 \dots + 2 πn

tan (B) = 8

\frac{tan ( θ ) cot ( θ )}{sec ^{2} ( θ )} = cot (θ)

3 - 3 cot (x) = - 6 cot (x)

sin (y) = \frac{3}{2}

9 sin^{2} (x) + 3 cos (x) - 7 = 0

What is the general solution for csc(θ)= 13/6 ?
The general solution for csc(θ)= 13/6 is θ=0.47972…+2pin,θ=pi-0.47972…+2pin