What is the general solution for cos(x)=0.89 ?

The general solution for cos(x)=0.89 is x=0.47345…+2pin,x=2pi-0.47345…+2pin

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cos(x)=0.89

cos (x) = 0.89

x = 0.47345 \dots + 2 πn, x = 2 π - 0.47345 \dots + 2 πn

Solution steps

cos (x) = 0.89

Apply trig inverse properties

x = arccos (0.89) + 2 πn, x = 2 π - arccos (0.89) + 2 πn

Show solutions in decimal form

x = 0.47345 \dots + 2 πn, x = 2 π - 0.47345 \dots + 2 πn

cos (x) = 0.88

cot (\frac{θ}{2}) = - 1

sin (2 θ) cos (θ) - sin (θ) = 0

- 12 sin (x) + 6 sin (2 x) = 0

cos (x) - sin (x) = 2

What is the general solution for cos(x)=0.89 ?
The general solution for cos(x)=0.89 is x=0.47345…+2pin,x=2pi-0.47345…+2pin