What is the general solution for cos(x)= 4/9 ?

The general solution for cos(x)= 4/9 is x=1.11024…+2pin,x=2pi-1.11024…+2pin

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cos(x)= 4/9

cos (x) = \frac{4}{9}

x = 1.11024 \dots + 2 πn, x = 2 π - 1.11024 \dots + 2 πn

Solution steps

cos (x) = \frac{4}{9}

Apply trig inverse properties

x = arccos (\frac{4}{9}) + 2 πn, x = 2 π - arccos (\frac{4}{9}) + 2 πn

Show solutions in decimal form

x = 1.11024 \dots + 2 πn, x = 2 π - 1.11024 \dots + 2 πn

2 sin (x) \cdot cos (x) - cos (x) = 0

tan^{2} (x) + 5 tan (x) + 2 = 0

2 sin^{2} (x) + 3 cos (2 x) = 2

tan (x) = 12

2 + 3 cos^{2} (θ) = sin^{2} (θ) + 4 cos (θ)

What is the general solution for cos(x)= 4/9 ?
The general solution for cos(x)= 4/9 is x=1.11024…+2pin,x=2pi-1.11024…+2pin