What is the general solution for cos(θ)=0.476 ?

The general solution for cos(θ)=0.476 is θ=1.07469…+2pin,θ=2pi-1.07469…+2pin

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cos(θ)=0.476

cos (θ) = 0.476

θ = 1.07469 \dots + 2 πn, θ = 2 π - 1.07469 \dots + 2 πn

Degrees

θ = 61.57552 \dots^{\circ} + 36 0^{\circ} n, θ = 298.42447 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.476

Apply trig inverse properties

cos (θ) = 0.476

General solutions for

cos (θ) = 0.476

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

θ = arccos (0.476) + 2 πn, θ = 2 π - arccos (0.476) + 2 πn

θ = arccos (0.476) + 2 πn, θ = 2 π - arccos (0.476) + 2 πn

Show solutions in decimal form

θ = 1.07469 \dots + 2 πn, θ = 2 π - 1.07469 \dots + 2 πn

sin (x) = \frac{15}{19}

12 cos (x) + 6 sin (2 x) = 0, 0 \leq x \leq 2 π

- 5 = ((sin (x)) (cos (x)))

\frac{179}{sin ( x + 2 0 ^{\circ} )} = \frac{125}{sin ( 12 5 ^{\circ} )}

sin (x) = \frac{15}{12}

What is the general solution for cos(θ)=0.476 ?
The general solution for cos(θ)=0.476 is θ=1.07469…+2pin,θ=2pi-1.07469…+2pin