What is the general solution for cos(a)= 1/4 ?

The general solution for cos(a)= 1/4 is a=1.31811…+2pin,a=2pi-1.31811…+2pin

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cos(a)= 1/4

cos (a) = \frac{1}{4}

a = 1.31811 \dots + 2 πn, a = 2 π - 1.31811 \dots + 2 πn

Solution steps

cos (a) = \frac{1}{4}

Apply trig inverse properties

a = arccos (\frac{1}{4}) + 2 πn, a = 2 π - arccos (\frac{1}{4}) + 2 πn

Show solutions in decimal form

a = 1.31811 \dots + 2 πn, a = 2 π - 1.31811 \dots + 2 πn

sin (x) = 0.55

sin (x) = 0.56

sin (3 x) cos (6 x) - cos (3 x) sin (6 x) = - 0.55

sin (x) = 0.47

sin (x) = 0.31

What is the general solution for cos(a)= 1/4 ?
The general solution for cos(a)= 1/4 is a=1.31811…+2pin,a=2pi-1.31811…+2pin