What is the general solution for cos(θ)= 6/16 ?

The general solution for cos(θ)= 6/16 is θ=1.18639…+2pin,θ=2pi-1.18639…+2pin

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cos(θ)= 6/16

cos (θ) = \frac{6}{16}

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

Degrees

θ = 67.97568 \dots^{\circ} + 36 0^{\circ} n, θ = 292.02431 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{6}{16}

Cancel the common factor:

2

cos (θ) = \frac{3}{8}

Apply trig inverse properties

cos (θ) = \frac{3}{8}

General solutions for

cos (θ) = \frac{3}{8}

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

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

Show solutions in decimal form

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

∣ cos (x) ∣ = - 1

\frac{sin ( 2 5 ^{\circ} )}{5.41} = \frac{sin ( x )}{9}

cos (θ) = \frac{4}{17}

- csc^{2} (x) + 2 csc (x) cot (x) = 0

6 sin (A) + 3 = 4 sin (A) + 4

What is the general solution for cos(θ)= 6/16 ?
The general solution for cos(θ)= 6/16 is θ=1.18639…+2pin,θ=2pi-1.18639…+2pin