What is the general solution for cos(t)= 1/3 ?

The general solution for cos(t)= 1/3 is t=1.23095…+2pin,t=2pi-1.23095…+2pin

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cos(t)= 1/3

cos (t) = \frac{1}{3}

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

Solution steps

cos (t) = \frac{1}{3}

Apply trig inverse properties

t = arccos (\frac{1}{3}) + 2 πn, t = 2 π - arccos (\frac{1}{3}) + 2 πn

Show solutions in decimal form

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

(1 - sin (x)) (\frac{( 1 + sin ( x ) )}{2 cos ( x )}) = 1

\frac{9.03}{sin ( 4 0 ^{\circ} )} = \frac{10}{sin ( x )}

tan (θ) (sec (θ) - 1) = 0

tan (x) + sec (x) = 2

sin (x) = \frac{4}{5}, \frac{π}{2} \leq x \leq π

What is the general solution for cos(t)= 1/3 ?
The general solution for cos(t)= 1/3 is t=1.23095…+2pin,t=2pi-1.23095…+2pin