What is the general solution for cos(x)=0.73 ?

The general solution for cos(x)=0.73 is x=0.75247…+2pin,x=2pi-0.75247…+2pin

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cos(x)=0.73

cos (x) = 0.73

x = 0.75247 \dots + 2 πn, x = 2 π - 0.75247 \dots + 2 πn

Degrees

x = 43.11360 \dots^{\circ} + 36 0^{\circ} n, x = 316.88639 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.73

Apply trig inverse properties

cos (x) = 0.73

General solutions for

cos (x) = 0.73

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

x = arccos (0.73) + 2 πn, x = 2 π - arccos (0.73) + 2 πn

x = arccos (0.73) + 2 πn, x = 2 π - arccos (0.73) + 2 πn

Show solutions in decimal form

x = 0.75247 \dots + 2 πn, x = 2 π - 0.75247 \dots + 2 πn

sin (3 x) + sin (2 x) = 0

csc^{2} (x) + cot^{2} (x) = 3

csc^{2} (x) + cot^{2} (x) = 2

cos (x) = 0.24

\frac{π}{2} = sin (x)

What is the general solution for cos(x)=0.73 ?
The general solution for cos(x)=0.73 is x=0.75247…+2pin,x=2pi-0.75247…+2pin