What is the general solution for cos(x)= 59/95 ?

The general solution for cos(x)= 59/95 is x=0.90071…+2pin,x=2pi-0.90071…+2pin

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cos(x)= 59/95

cos (x) = \frac{59}{95}

x = 0.90071 \dots + 2 πn, x = 2 π - 0.90071 \dots + 2 πn

Degrees

x = 51.60695 \dots^{\circ} + 36 0^{\circ} n, x = 308.39304 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{59}{95}

Apply trig inverse properties

cos (x) = \frac{59}{95}

General solutions for

cos (x) = \frac{59}{95}

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

x = arccos (\frac{59}{95}) + 2 πn, x = 2 π - arccos (\frac{59}{95}) + 2 πn

x = arccos (\frac{59}{95}) + 2 πn, x = 2 π - arccos (\frac{59}{95}) + 2 πn

Show solutions in decimal form

x = 0.90071 \dots + 2 πn, x = 2 π - 0.90071 \dots + 2 πn

What is the general solution for cos(x)= 59/95 ?
The general solution for cos(x)= 59/95 is x=0.90071…+2pin,x=2pi-0.90071…+2pin