What is the general solution for cos(θ)=0.7609 ?

The general solution for cos(θ)=0.7609 is θ=0.70609…+2pin,θ=2pi-0.70609…+2pin

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cos(θ)=0.7609

cos (θ) = 0.7609

θ = 0.70609 \dots + 2 πn, θ = 2 π - 0.70609 \dots + 2 πn

Degrees

θ = 40.45639 \dots^{\circ} + 36 0^{\circ} n, θ = 319.54360 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.7609

Apply trig inverse properties

cos (θ) = 0.7609

General solutions for

cos (θ) = 0.7609

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

θ = arccos (0.7609) + 2 πn, θ = 2 π - arccos (0.7609) + 2 πn

θ = arccos (0.7609) + 2 πn, θ = 2 π - arccos (0.7609) + 2 πn

Show solutions in decimal form

θ = 0.70609 \dots + 2 πn, θ = 2 π - 0.70609 \dots + 2 πn

What is the general solution for cos(θ)=0.7609 ?
The general solution for cos(θ)=0.7609 is θ=0.70609…+2pin,θ=2pi-0.70609…+2pin