What is the general solution for cos(θ)=0.6596 ?

The general solution for cos(θ)=0.6596 is θ=0.85050…+2pin,θ=2pi-0.85050…+2pin

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cos(θ)=0.6596

cos (θ) = 0.6596

θ = 0.85050 \dots + 2 πn, θ = 2 π - 0.85050 \dots + 2 πn

Degrees

θ = 48.73062 \dots^{\circ} + 36 0^{\circ} n, θ = 311.26937 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.6596

Apply trig inverse properties

cos (θ) = 0.6596

General solutions for

cos (θ) = 0.6596

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

θ = arccos (0.6596) + 2 πn, θ = 2 π - arccos (0.6596) + 2 πn

θ = arccos (0.6596) + 2 πn, θ = 2 π - arccos (0.6596) + 2 πn

Show solutions in decimal form

θ = 0.85050 \dots + 2 πn, θ = 2 π - 0.85050 \dots + 2 πn

- 1 = tan (x + \frac{π}{18})

cos (x + 6 0^{\circ}) = - sin (x)

cos^{5} (x) + cos (x) = 2 cos^{2} (x)

sin (4 0^{\circ} + x) = cos (5 x + 10)

cos (a) = \frac{5}{8}

What is the general solution for cos(θ)=0.6596 ?
The general solution for cos(θ)=0.6596 is θ=0.85050…+2pin,θ=2pi-0.85050…+2pin