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

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

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sin(θ)=-5/6 ,sec(θ)

sin (θ) = - \frac{5}{6}, sec (θ)

No Solution for θ \in R

Solution steps

sin (θ) = - \frac{5}{6}, sec (θ)

Apply trig inverse properties

sin (θ) = - \frac{5}{6}

General solutions for

sin (θ) = - \frac{5}{6}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

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

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

Solutions for the range

sec (θ)

No Solution for θ \in R

sin (x) = \frac{1}{3}, cos (x)

6 - 5 tan (3 x + 1) = 26

sec (2 x - 1 0^{\circ}) = csc (3 2^{\circ})

(5 tan (θ) + 25) = 0

4 = cos (x)

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