What is the general solution for cos(θ)=-5/6 ,csc(θ) ?

The general solution for cos(θ)=-5/6 ,csc(θ) is No Solution for θ\in\mathbb{R}

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cos(θ)=-5/6 ,csc(θ)

cos (θ) = - \frac{5}{6}, csc (θ)

No Solution for θ \in R

Solution steps

cos (θ) = - \frac{5}{6}, csc (θ)

Apply trig inverse properties

cos (θ) = - \frac{5}{6}

General solutions for

cos (θ) = - \frac{5}{6}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

θ = arccos (- \frac{5}{6}) + 2 πn, θ = - arccos (- \frac{5}{6}) + 2 πn

θ = arccos (- \frac{5}{6}) + 2 πn, θ = - arccos (- \frac{5}{6}) + 2 πn

Solutions for the range

csc (θ)

No Solution for θ \in R

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

sin (x) - 3 cos (x) = - 1

sin (θ) = \frac{- 1}{17}

tan (x) + cot (x) = 3, = tan (3 x) + cot (3 x)

x, cos^{2} (x) = sin^{2} (x)

What is the general solution for cos(θ)=-5/6 ,csc(θ) ?
The general solution for cos(θ)=-5/6 ,csc(θ) is No Solution for θ\in\mathbb{R}