What is the general solution for cos(x)= 6/14 ?

The general solution for cos(x)= 6/14 is x=1.12788…+2pin,x=2pi-1.12788…+2pin

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cos(x)= 6/14

cos (x) = \frac{6}{14}

x = 1.12788 \dots + 2 πn, x = 2 π - 1.12788 \dots + 2 πn

Degrees

x = 64.62306 \dots^{\circ} + 36 0^{\circ} n, x = 295.37693 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{6}{14}

Cancel the common factor:

2

cos (x) = \frac{3}{7}

Apply trig inverse properties

cos (x) = \frac{3}{7}

General solutions for

cos (x) = \frac{3}{7}

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

x = arccos (\frac{3}{7}) + 2 πn, x = 2 π - arccos (\frac{3}{7}) + 2 πn

x = arccos (\frac{3}{7}) + 2 πn, x = 2 π - arccos (\frac{3}{7}) + 2 πn

Show solutions in decimal form

x = 1.12788 \dots + 2 πn, x = 2 π - 1.12788 \dots + 2 πn

x, sec (x) = 2

sin (θ) = sin (- \frac{2}{3} π)

cot (a) = - \frac{7}{24}

2 sin^{2} (a) = - sin (a)

sec (θ) = 5

What is the general solution for cos(x)= 6/14 ?
The general solution for cos(x)= 6/14 is x=1.12788…+2pin,x=2pi-1.12788…+2pin