What is the general solution for sec(α)=-3,cos(α/2) ?

The general solution for sec(α)=-3,cos(α/2) is No Solution for α\in\mathbb{R}

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sec(α)=-3,cos(α/2)

sec (α) = - 3, cos (\frac{α}{2})

No Solution for α \in R

Solution steps

sec (α) = - 3, cos (\frac{α}{2})

Apply trig inverse properties

sec (α) = - 3

General solutions for

sec (α) = - 3

sec (x) = - a \Rightarrow x = arcsec (- a) + 2 πn, x = - arcsec (- a) + 2 πn

α = arcsec (- 3) + 2 πn, α = - arcsec (- 3) + 2 πn

α = arcsec (- 3) + 2 πn, α = - arcsec (- 3) + 2 πn

Solutions for the range

cos (\frac{α}{2})

No Solution for α \in R

cos (5 x) = - 1

4 tan (\frac{x}{2}) = 8

tan (x) = \frac{5}{11}

tan (x) = - 4.8764, π < x < \frac{( 3 π )}{2 , cos ( x )}

x, z = tan (x) y

What is the general solution for sec(α)=-3,cos(α/2) ?
The general solution for sec(α)=-3,cos(α/2) is No Solution for α\in\mathbb{R}