What is the general solution for cos(x)=0.6345 ?

The general solution for cos(x)=0.6345 is x=0.88343…+2pin,x=2pi-0.88343…+2pin

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cos(x)=0.6345

cos (x) = 0.6345

x = 0.88343 \dots + 2 πn, x = 2 π - 0.88343 \dots + 2 πn

Degrees

x = 50.61708 \dots^{\circ} + 36 0^{\circ} n, x = 309.38291 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.6345

Apply trig inverse properties

cos (x) = 0.6345

General solutions for

cos (x) = 0.6345

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

x = arccos (0.6345) + 2 πn, x = 2 π - arccos (0.6345) + 2 πn

x = arccos (0.6345) + 2 πn, x = 2 π - arccos (0.6345) + 2 πn

Show solutions in decimal form

x = 0.88343 \dots + 2 πn, x = 2 π - 0.88343 \dots + 2 πn

cos (t) = \frac{40}{41}

5 tan (x) = 12

cos^{2} (a) + cos (a) = 0

5 tan (x) = - 5

- 2 cos (θ - 1) = 0.5

What is the general solution for cos(x)=0.6345 ?
The general solution for cos(x)=0.6345 is x=0.88343…+2pin,x=2pi-0.88343…+2pin