What is the general solution for cos(x)=(7.2)/(9.4) ?

The general solution for cos(x)=(7.2)/(9.4) is x=0.69826…+2pin,x=2pi-0.69826…+2pin

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cos(x)=(7.2)/(9.4)

cos (x) = \frac{7.2}{9.4}

x = 0.69826 \dots + 2 πn, x = 2 π - 0.69826 \dots + 2 πn

Solution steps

cos (x) = \frac{7.2}{9.4}

Apply trig inverse properties

x = arccos (\frac{7.2}{9.4}) + 2 πn, x = 2 π - arccos (\frac{7.2}{9.4}) + 2 πn

Show solutions in decimal form

x = 0.69826 \dots + 2 πn, x = 2 π - 0.69826 \dots + 2 πn

sin (θ) = - 2 - cos (θ)

sin (2 θ) = 3 cos (2 θ)

1 - cos (2 x) = sin (2 x)

cos (θ) = 5

2 cos^{2} (x) + 2 cos (x) = 0

What is the general solution for cos(x)=(7.2)/(9.4) ?
The general solution for cos(x)=(7.2)/(9.4) is x=0.69826…+2pin,x=2pi-0.69826…+2pin