What is the general solution for cos(θ)=0.5747 ?

The general solution for cos(θ)=0.5747 is θ=0.95855…+2pin,θ=2pi-0.95855…+2pin

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cos(θ)=0.5747

cos (θ) = 0.5747

θ = 0.95855 \dots + 2 πn, θ = 2 π - 0.95855 \dots + 2 πn

Degrees

θ = 54.92137 \dots^{\circ} + 36 0^{\circ} n, θ = 305.07862 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.5747

Apply trig inverse properties

cos (θ) = 0.5747

General solutions for

cos (θ) = 0.5747

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

θ = arccos (0.5747) + 2 πn, θ = 2 π - arccos (0.5747) + 2 πn

θ = arccos (0.5747) + 2 πn, θ = 2 π - arccos (0.5747) + 2 πn

Show solutions in decimal form

θ = 0.95855 \dots + 2 πn, θ = 2 π - 0.95855 \dots + 2 πn

0 = \frac{110 cos ( 377 t )}{8}

sin (2 x + 3) = 0.5

0 = - sin (2 x) - sin (x)

x, 4 sin (x) cos (x) = 1

sin (θ) = - 3

What is the general solution for cos(θ)=0.5747 ?
The general solution for cos(θ)=0.5747 is θ=0.95855…+2pin,θ=2pi-0.95855…+2pin