What is the general solution for cos(x)=(-1+sqrt(5))/4 ?

The general solution for cos(x)=(-1+sqrt(5))/4 is x=1.25663…+2pin,x=2pi-1.25663…+2pin

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cos(x)=(-1+sqrt(5))/4

cos (x) = \frac{- 1 + 5}{4}

x = 1.25663 \dots + 2 πn, x = 2 π - 1.25663 \dots + 2 πn

Degrees

x = 7 2^{\circ} + 36 0^{\circ} n, x = 28 8^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 1 + 5}{4}

Apply trig inverse properties

cos (x) = \frac{- 1 + 5}{4}

General solutions for

cos (x) = \frac{- 1 + 5}{4}

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

x = arccos (\frac{- 1 + 5}{4}) + 2 πn, x = 2 π - arccos (\frac{- 1 + 5}{4}) + 2 πn

x = arccos (\frac{- 1 + 5}{4}) + 2 πn, x = 2 π - arccos (\frac{- 1 + 5}{4}) + 2 πn

Show solutions in decimal form

x = 1.25663 \dots + 2 πn, x = 2 π - 1.25663 \dots + 2 πn

What is the general solution for cos(x)=(-1+sqrt(5))/4 ?
The general solution for cos(x)=(-1+sqrt(5))/4 is x=1.25663…+2pin,x=2pi-1.25663…+2pin