What is the general solution for cos(x)= 4/14 ?

The general solution for cos(x)= 4/14 is x=1.28104…+2pin,x=2pi-1.28104…+2pin

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cos(x)= 4/14

cos (x) = \frac{4}{14}

x = 1.28104 \dots + 2 πn, x = 2 π - 1.28104 \dots + 2 πn

Degrees

x = 73.39845 \dots^{\circ} + 36 0^{\circ} n, x = 286.60154 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{4}{14}

Cancel the common factor:

2

cos (x) = \frac{2}{7}

Apply trig inverse properties

cos (x) = \frac{2}{7}

General solutions for

cos (x) = \frac{2}{7}

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

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

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

Show solutions in decimal form

x = 1.28104 \dots + 2 πn, x = 2 π - 1.28104 \dots + 2 πn

\frac{sin ( 57.2 2 ^{\circ} )}{31.5} = \frac{sin ( θ )}{24.4}

tan^{2} (b) sin^{2} (b) = tan^{2} (b) + sin^{2} (b)

cos (2 θ) = \frac{3}{2}, 0 \leq θ < 2 π

7.5 sin (x) = 3.4 cos (x)

sec (θ) = 8, tan (θ) = 37

What is the general solution for cos(x)= 4/14 ?
The general solution for cos(x)= 4/14 is x=1.28104…+2pin,x=2pi-1.28104…+2pin