What is the general solution for cos(x)= 2/(sqrt(29)) ?

The general solution for cos(x)= 2/(sqrt(29)) is x=1.19028…+2pin,x=2pi-1.19028…+2pin

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cos(x)= 2/(sqrt(29))

cos (x) = \frac{2}{29}

x = 1.19028 \dots + 2 πn, x = 2 π - 1.19028 \dots + 2 πn

Solution steps

cos (x) = \frac{2}{29}

Simplify

\frac{2}{29} : \frac{2 29}{29}

Apply trig inverse properties

x = arccos (\frac{2 29}{29}) + 2 πn, x = 2 π - arccos (\frac{2 29}{29}) + 2 πn

Show solutions in decimal form

x = 1.19028 \dots + 2 πn, x = 2 π - 1.19028 \dots + 2 πn

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

cos (x) = 100

1.58 \cdot sin (3 4^{\circ}) = 1 (sin (θ))

10 sin (x) + 4 = 10

4. 3^{2} = 3. 8^{2} + 6. 3^{2} + 2 (3.8) (6.3) cos (b)

What is the general solution for cos(x)= 2/(sqrt(29)) ?
The general solution for cos(x)= 2/(sqrt(29)) is x=1.19028…+2pin,x=2pi-1.19028…+2pin