What is the general solution for cos(a)= 2/3 ?

The general solution for cos(a)= 2/3 is a=0.84106…+2pin,a=2pi-0.84106…+2pin

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cos(a)= 2/3

cos (a) = \frac{2}{3}

a = 0.84106 \dots + 2 πn, a = 2 π - 0.84106 \dots + 2 πn

Solution steps

cos (a) = \frac{2}{3}

Apply trig inverse properties

a = arccos (\frac{2}{3}) + 2 πn, a = 2 π - arccos (\frac{2}{3}) + 2 πn

Show solutions in decimal form

a = 0.84106 \dots + 2 πn, a = 2 π - 0.84106 \dots + 2 πn

- 1 = cos (π t)

2 tan^{2} (θ) = 6

cos^{2} (θ + \frac{π}{6}) = \frac{1}{2}

2 sin (2 x) = 2 sin (x)

tan (x) = \frac{1}{7}

What is the general solution for cos(a)= 2/3 ?
The general solution for cos(a)= 2/3 is a=0.84106…+2pin,a=2pi-0.84106…+2pin