What is the general solution for cos(x)= 20/29 ?

The general solution for cos(x)= 20/29 is x=0.80978…+2pin,x=2pi-0.80978…+2pin

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cos(x)= 20/29

cos (x) = \frac{20}{29}

x = 0.80978 \dots + 2 πn, x = 2 π - 0.80978 \dots + 2 πn

Degrees

x = 46.39718 \dots^{\circ} + 36 0^{\circ} n, x = 313.60281 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{20}{29}

Apply trig inverse properties

cos (x) = \frac{20}{29}

General solutions for

cos (x) = \frac{20}{29}

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

x = arccos (\frac{20}{29}) + 2 πn, x = 2 π - arccos (\frac{20}{29}) + 2 πn

x = arccos (\frac{20}{29}) + 2 πn, x = 2 π - arccos (\frac{20}{29}) + 2 πn

Show solutions in decimal form

x = 0.80978 \dots + 2 πn, x = 2 π - 0.80978 \dots + 2 πn

2 cot^{4} (x) - cot^{2} (x) - 15 = 0

cos (θ) = \frac{11}{6}

1 + cos (x) = 3 cos (x)

2 cot (θ) + 1 = 0

tan (4 x) + 1 = 0

What is the general solution for cos(x)= 20/29 ?
The general solution for cos(x)= 20/29 is x=0.80978…+2pin,x=2pi-0.80978…+2pin