What is the general solution for cos(x)= 8/9 ?

The general solution for cos(x)= 8/9 is x=0.47588…+2pin,x=2pi-0.47588…+2pin

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cos(x)= 8/9

cos (x) = \frac{8}{9}

x = 0.47588 \dots + 2 πn, x = 2 π - 0.47588 \dots + 2 πn

Solution steps

cos (x) = \frac{8}{9}

Apply trig inverse properties

x = arccos (\frac{8}{9}) + 2 πn, x = 2 π - arccos (\frac{8}{9}) + 2 πn

Show solutions in decimal form

x = 0.47588 \dots + 2 πn, x = 2 π - 0.47588 \dots + 2 πn

5 - 6 cos (θ) = 33 + 5 - 3 cos (θ)

tan (4 θ) = 0

4 sin (x) = tan (x)

sin (a) = \frac{7}{25}

3 sin^{2} (x) + 2 = 5 sin (x)

What is the general solution for cos(x)= 8/9 ?
The general solution for cos(x)= 8/9 is x=0.47588…+2pin,x=2pi-0.47588…+2pin