What is the general solution for cos(x)= 14/24 ?

The general solution for cos(x)= 14/24 is x=0.94796…+2pin,x=2pi-0.94796…+2pin

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cos(x)= 14/24

cos (x) = \frac{14}{24}

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

Degrees

x = 54.31466 \dots^{\circ} + 36 0^{\circ} n, x = 305.68533 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{14}{24}

Cancel the common factor:

2

cos (x) = \frac{7}{12}

Apply trig inverse properties

cos (x) = \frac{7}{12}

General solutions for

cos (x) = \frac{7}{12}

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

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

Show solutions in decimal form

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

sin (x^{2} - 2 x + 1) = 0

cos (θ) = - 3

\frac{1}{cos ( x )} = 2

2 tan^{2} (x) = - 3 sec (x)

tan (θ) + 1 = 2

What is the general solution for cos(x)= 14/24 ?
The general solution for cos(x)= 14/24 is x=0.94796…+2pin,x=2pi-0.94796…+2pin