What is the general solution for cos(θ)= 14/16 ?

The general solution for cos(θ)= 14/16 is θ=0.50536…+2pin,θ=2pi-0.50536…+2pin

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cos(θ)= 14/16

cos (θ) = \frac{14}{16}

θ = 0.50536 \dots + 2 πn, θ = 2 π - 0.50536 \dots + 2 πn

Degrees

θ = 28.95502 \dots^{\circ} + 36 0^{\circ} n, θ = 331.04497 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{14}{16}

Cancel the common factor:

2

cos (θ) = \frac{7}{8}

Apply trig inverse properties

cos (θ) = \frac{7}{8}

General solutions for

cos (θ) = \frac{7}{8}

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

θ = arccos (\frac{7}{8}) + 2 πn, θ = 2 π - arccos (\frac{7}{8}) + 2 πn

θ = arccos (\frac{7}{8}) + 2 πn, θ = 2 π - arccos (\frac{7}{8}) + 2 πn

Show solutions in decimal form

θ = 0.50536 \dots + 2 πn, θ = 2 π - 0.50536 \dots + 2 πn

What is the general solution for cos(θ)= 14/16 ?
The general solution for cos(θ)= 14/16 is θ=0.50536…+2pin,θ=2pi-0.50536…+2pin