What is the general solution for cos(θ)=0.4,sec(θ) ?

The general solution for cos(θ)=0.4,sec(θ) is No Solution for θ\in\mathbb{R}

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cos(θ)=0.4,sec(θ)

cos (θ) = 0.4, sec (θ)

No Solution for θ \in R

Solution steps

cos (θ) = 0.4, sec (θ)

Apply trig inverse properties

cos (θ) = 0.4

General solutions for

cos (θ) = 0.4

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

θ = arccos (0.4) + 2 πn, θ = 2 π - arccos (0.4) + 2 πn

θ = arccos (0.4) + 2 πn, θ = 2 π - arccos (0.4) + 2 πn

Solutions for the range

sec (θ)

No Solution for θ \in R

- \frac{π}{2} sin (\frac{π x}{2}) = 0

cot (θ) = \frac{1 + cos ^{2} ( θ )}{2 sin ( θ ) cos ( θ )}

cot (x) = 3 + 1

sec (3 x) - csc (3 0^{\circ}) = 0, \frac{x + 35}{5}

4 cos (2 θ) - 10 cos (θ) + 14 = 7, 0 \leq θ < 36 0^{\circ}

What is the general solution for cos(θ)=0.4,sec(θ) ?
The general solution for cos(θ)=0.4,sec(θ) is No Solution for θ\in\mathbb{R}