What is the general solution for cos(x)=0.8736 ?

The general solution for cos(x)=0.8736 is x=0.50824…+2pin,x=2pi-0.50824…+2pin

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cos(x)=0.8736

cos (x) = 0.8736

x = 0.50824 \dots + 2 πn, x = 2 π - 0.50824 \dots + 2 πn

Degrees

x = 29.12028 \dots^{\circ} + 36 0^{\circ} n, x = 330.87971 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.8736

Apply trig inverse properties

cos (x) = 0.8736

General solutions for

cos (x) = 0.8736

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

x = arccos (0.8736) + 2 πn, x = 2 π - arccos (0.8736) + 2 πn

x = arccos (0.8736) + 2 πn, x = 2 π - arccos (0.8736) + 2 πn

Show solutions in decimal form

x = 0.50824 \dots + 2 πn, x = 2 π - 0.50824 \dots + 2 πn

What is the general solution for cos(x)=0.8736 ?
The general solution for cos(x)=0.8736 is x=0.50824…+2pin,x=2pi-0.50824…+2pin