What is the general solution for cos(x)=0.625 ?

The general solution for cos(x)=0.625 is x=0.89566…+2pin,x=2pi-0.89566…+2pin

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cos(x)=0.625

cos (x) = 0.625

x = 0.89566 \dots + 2 πn, x = 2 π - 0.89566 \dots + 2 πn

Degrees

x = 51.31781 \dots^{\circ} + 36 0^{\circ} n, x = 308.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.625

Apply trig inverse properties

cos (x) = 0.625

General solutions for

cos (x) = 0.625

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

x = arccos (0.625) + 2 πn, x = 2 π - arccos (0.625) + 2 πn

x = arccos (0.625) + 2 πn, x = 2 π - arccos (0.625) + 2 πn

Show solutions in decimal form

x = 0.89566 \dots + 2 πn, x = 2 π - 0.89566 \dots + 2 πn

0 = 2 cos (t)

sin (z) \cdot cos (z) = 1

0 = 2 cos (x)

\frac{cos ( x )}{cos ( x )} = \frac{cos ( x )}{1 + sin ( x )}

- 2 cos (θ) - 3 = 0

What is the general solution for cos(x)=0.625 ?
The general solution for cos(x)=0.625 is x=0.89566…+2pin,x=2pi-0.89566…+2pin