What is the general solution for cos(x)= 22/24 ?

The general solution for cos(x)= 22/24 is x=0.41113…+2pin,x=2pi-0.41113…+2pin

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cos(x)= 22/24

cos (x) = \frac{22}{24}

x = 0.41113 \dots + 2 πn, x = 2 π - 0.41113 \dots + 2 πn

Degrees

x = 23.55646 \dots^{\circ} + 36 0^{\circ} n, x = 336.44353 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{22}{24}

Cancel the common factor:

2

cos (x) = \frac{11}{12}

Apply trig inverse properties

cos (x) = \frac{11}{12}

General solutions for

cos (x) = \frac{11}{12}

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

x = arccos (\frac{11}{12}) + 2 πn, x = 2 π - arccos (\frac{11}{12}) + 2 πn

x = arccos (\frac{11}{12}) + 2 πn, x = 2 π - arccos (\frac{11}{12}) + 2 πn

Show solutions in decimal form

x = 0.41113 \dots + 2 πn, x = 2 π - 0.41113 \dots + 2 πn

sin (x) = \frac{1.2}{1.6}

2 cos^{2} (θ) + 3 cos (θ) = - 1

sin (x) = \frac{14.9}{19.9725}

sin (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

2 sin (x) (cos (x) - sin (x)) + cos (x) - sin (x) = 0

What is the general solution for cos(x)= 22/24 ?
The general solution for cos(x)= 22/24 is x=0.41113…+2pin,x=2pi-0.41113…+2pin