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

The general solution for cos(θ)=0.4 is θ=1.15927…+2pin,θ=2pi-1.15927…+2pin

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cos(θ)=0.4

cos (θ) = 0.4

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

Degrees

θ = 66.42182 \dots^{\circ} + 36 0^{\circ} n, θ = 293.57817 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.4

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

Show solutions in decimal form

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

3 tan (\frac{x}{2}) + 1 = 0

2 cos^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

sin (θ) = 0.82

tan (x) = \frac{1}{10}

cos^{2} (2 x) + 1 + sin (2 x) = 2

What is the general solution for cos(θ)=0.4 ?
The general solution for cos(θ)=0.4 is θ=1.15927…+2pin,θ=2pi-1.15927…+2pin