What is the general solution for cos(φ)= 1/4 ?

The general solution for cos(φ)= 1/4 is φ=1.31811…+2pin,φ=2pi-1.31811…+2pin

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cos(φ)= 1/4

cos (φ) = \frac{1}{4}

φ = 1.31811 \dots + 2 πn, φ = 2 π - 1.31811 \dots + 2 πn

Solution steps

cos (φ) = \frac{1}{4}

Apply trig inverse properties

φ = arccos (\frac{1}{4}) + 2 πn, φ = 2 π - arccos (\frac{1}{4}) + 2 πn

Show solutions in decimal form

φ = 1.31811 \dots + 2 πn, φ = 2 π - 1.31811 \dots + 2 πn

- 2 cos (x) = sin (x)

sin (x) = - 0.9781

tan (x) = 3.73

tan (θ) = - \frac{2}{5}, sin (θ) > 0

sin (4 θ) = \frac{3}{2}, 0 \leq θ < 2 π

What is the general solution for cos(φ)= 1/4 ?
The general solution for cos(φ)= 1/4 is φ=1.31811…+2pin,φ=2pi-1.31811…+2pin