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

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

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sec(θ)= 6/(-5),sec(-θ)

sec (θ) = \frac{6}{- 5}, sec (- θ)

No Solution for θ \in R

Solution steps

sec (θ) = \frac{6}{- 5}, sec (- θ)

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

sec (θ) = - \frac{6}{5}

Apply trig inverse properties

sec (θ) = - \frac{6}{5}

General solutions for

sec (θ) = - \frac{6}{5}

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

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

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

Solutions for the range

sec (- θ)

No Solution for θ \in R

cos (π z) = 0

sin (x) \cdot cos (x) - 3 cos (x) = 0

9.8 \cdot sin (α) - 0.2 \cdot 9.8 \cdot cos (α) = 0.47

- sin (x) + 3 cos (x) = 0

tan^{2} (θ) = \frac{sin ^{2} ( θ )}{cos ( θ )}

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