What is the general solution for cos(x)= 1/3 ,(3pi)/2 <x<2pi ?

The general solution for cos(x)= 1/3 ,(3pi)/2 <x<2pi is x=2pi-1.23095…

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cos(x)= 1/3 ,(3pi)/2 <x<2pi

cos (x) = \frac{1}{3}, \frac{3 π}{2} < x < 2 π

x = 2 π - 1.23095 \dots

Degrees

x = 289.47122 \dots^{\circ}

Solution steps

cos (x) = \frac{1}{3}, \frac{3 π}{2} < x < 2 π

Apply trig inverse properties

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

General solutions for

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

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

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

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

Solutions for the range

\frac{3 π}{2} < x < 2 π

x = 2 π - arccos (\frac{1}{3})

Show solutions in decimal form

x = 2 π - 1.23095 \dots

\frac{2.68}{sin ( 12 6 ^{\circ} )} = \frac{1.2}{sin ( x )}

3 csc^{2} (x) - 5 csc (x) - 2 = 0

(cot (x) - 1) (3 tan (x) - 1) = 0

2 sin (x) cos (x) + cos (x) = 0, 0 \leq x \leq 2 π

a, sin (2 a) + 1 = 0.5

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