What is the general solution for cos(x)= pi/6 ?

The general solution for cos(x)= pi/6 is x=1.01972…+2pin,x=2pi-1.01972…+2pin

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cos(x)= pi/6

cos (x) = \frac{π}{6}

x = 1.01972 \dots + 2 πn, x = 2 π - 1.01972 \dots + 2 πn

Degrees

x = 58.42603 \dots^{\circ} + 36 0^{\circ} n, x = 301.57396 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{π}{6}

Apply trig inverse properties

cos (x) = \frac{π}{6}

General solutions for

cos (x) = \frac{π}{6}

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

x = arccos (\frac{π}{6}) + 2 πn, x = 2 π - arccos (\frac{π}{6}) + 2 πn

x = arccos (\frac{π}{6}) + 2 πn, x = 2 π - arccos (\frac{π}{6}) + 2 πn

Show solutions in decimal form

x = 1.01972 \dots + 2 πn, x = 2 π - 1.01972 \dots + 2 πn

3 cos (2 θ) + 6 = - 5 cos (θ) + 2

sin (3 x) cos (x) - sin (x) cos (3 x) = 0

sin (x) = \frac{8}{12}

2 cos (θ) sin (θ) + 3 cos (θ) = 0

2 - 2 sin (θ) = 4

What is the general solution for cos(x)= pi/6 ?
The general solution for cos(x)= pi/6 is x=1.01972…+2pin,x=2pi-1.01972…+2pin