What is the general solution for cos(θ)=(sqrt(3))/4 ?

The general solution for cos(θ)=(sqrt(3))/4 is θ=1.12296…+2pin,θ=2pi-1.12296…+2pin

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cos(θ)=(sqrt(3))/4

cos (θ) = \frac{3}{4}

θ = 1.12296 \dots + 2 πn, θ = 2 π - 1.12296 \dots + 2 πn

Solution steps

cos (θ) = \frac{3}{4}

Apply trig inverse properties

θ = arccos (\frac{3}{4}) + 2 πn, θ = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = 1.12296 \dots + 2 πn, θ = 2 π - 1.12296 \dots + 2 πn

cos (x) = \frac{- 3}{5}

x, sin (2 x) = - \frac{1}{2}

9 cos (2 θ) = 27 cos (θ) - 18

4 csc (x) = 3 csc (x) cot (x) + 3 csc (x)

4 cos^{2} (x) + 4 cos (x) = 1, 0^{\circ} \leq x < 36 0^{\circ}

What is the general solution for cos(θ)=(sqrt(3))/4 ?
The general solution for cos(θ)=(sqrt(3))/4 is θ=1.12296…+2pin,θ=2pi-1.12296…+2pin