What is the general solution for cos(x)=0.78 ?

The general solution for cos(x)=0.78 is x=0.67613…+2pin,x=2pi-0.67613…+2pin

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cos(x)=0.78

cos (x) = 0.78

x = 0.67613 \dots + 2 πn, x = 2 π - 0.67613 \dots + 2 πn

Degrees

x = 38.73942 \dots^{\circ} + 36 0^{\circ} n, x = 321.26057 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.78

Apply trig inverse properties

cos (x) = 0.78

General solutions for

cos (x) = 0.78

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

x = arccos (0.78) + 2 πn, x = 2 π - arccos (0.78) + 2 πn

x = arccos (0.78) + 2 πn, x = 2 π - arccos (0.78) + 2 πn

Show solutions in decimal form

x = 0.67613 \dots + 2 πn, x = 2 π - 0.67613 \dots + 2 πn

cos (x) = 0.12

0 = cos (3 θ)

6 sin (θ) + 6 = 0

cosh (z) = - 2

tan (\frac{θ}{2} + \frac{π}{3}) = - 1, 0 \leq θ < 2 π

What is the general solution for cos(x)=0.78 ?
The general solution for cos(x)=0.78 is x=0.67613…+2pin,x=2pi-0.67613…+2pin