What is the general solution for cos(x)= 2/7 ?

The general solution for cos(x)= 2/7 is x=1.28104…+2pin,x=2pi-1.28104…+2pin

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cos(x)= 2/7

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

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

Solution steps

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

Apply trig inverse properties

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

cos (3 x) sin (2 x) = 0

2 sin (2 θ) = 2

sin^{2} (θ) + sin (θ) - 2 = 0

sin^{2} (θ) - tan (θ) cos^{2} (θ) = 0

3 tan (x) = 4 sin (x)

What is the general solution for cos(x)= 2/7 ?
The general solution for cos(x)= 2/7 is x=1.28104…+2pin,x=2pi-1.28104…+2pin