What is the general solution for cos(θ)=(sqrt(15))/8 ?

The general solution for cos(θ)=(sqrt(15))/8 is θ=1.06543…+2pin,θ=2pi-1.06543…+2pin

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cos(θ)=(sqrt(15))/8

cos (θ) = \frac{15}{8}

θ = 1.06543 \dots + 2 πn, θ = 2 π - 1.06543 \dots + 2 πn

Degrees

θ = 61.04497 \dots^{\circ} + 36 0^{\circ} n, θ = 298.95502 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{15}{8}

Apply trig inverse properties

cos (θ) = \frac{15}{8}

General solutions for

cos (θ) = \frac{15}{8}

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

θ = arccos (\frac{15}{8}) + 2 πn, θ = 2 π - arccos (\frac{15}{8}) + 2 πn

θ = arccos (\frac{15}{8}) + 2 πn, θ = 2 π - arccos (\frac{15}{8}) + 2 πn

Show solutions in decimal form

θ = 1.06543 \dots + 2 πn, θ = 2 π - 1.06543 \dots + 2 πn

What is the general solution for cos(θ)=(sqrt(15))/8 ?
The general solution for cos(θ)=(sqrt(15))/8 is θ=1.06543…+2pin,θ=2pi-1.06543…+2pin