What is the general solution for cos(x)=(2.3)/(2.8) ?

The general solution for cos(x)=(2.3)/(2.8) is x=0.60688…+2pin,x=2pi-0.60688…+2pin

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cos(x)=(2.3)/(2.8)

cos (x) = \frac{2.3}{2.8}

x = 0.60688 \dots + 2 πn, x = 2 π - 0.60688 \dots + 2 πn

Solution steps

cos (x) = \frac{2.3}{2.8}

Apply trig inverse properties

x = arccos (\frac{2.3}{2.8}) + 2 πn, x = 2 π - arccos (\frac{2.3}{2.8}) + 2 πn

Show solutions in decimal form

x = 0.60688 \dots + 2 πn, x = 2 π - 0.60688 \dots + 2 πn

3000 = 5000 [cos (\frac{π}{45} (t - 6))]

2 + cos (θ) = 5 cos (θ)

11 = 12 + 3.1 cos (\frac{2 π}{365} t)

θ, 6 sin^{2} (θ) - 3 = 0

sin (x) = - \frac{7}{8}

What is the general solution for cos(x)=(2.3)/(2.8) ?
The general solution for cos(x)=(2.3)/(2.8) is x=0.60688…+2pin,x=2pi-0.60688…+2pin