What is the general solution for cos(β)=0.8 ?

The general solution for cos(β)=0.8 is β=0.64350…+2pin,β=2pi-0.64350…+2pin

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cos(β)=0.8

cos (β) = 0.8

β = 0.64350 \dots + 2 πn, β = 2 π - 0.64350 \dots + 2 πn

Degrees

β = 36.86989 \dots^{\circ} + 36 0^{\circ} n, β = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (β) = 0.8

Apply trig inverse properties

cos (β) = 0.8

General solutions for

cos (β) = 0.8

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

β = arccos (0.8) + 2 πn, β = 2 π - arccos (0.8) + 2 πn

β = arccos (0.8) + 2 πn, β = 2 π - arccos (0.8) + 2 πn

Show solutions in decimal form

β = 0.64350 \dots + 2 πn, β = 2 π - 0.64350 \dots + 2 πn

cos (15 0^{\circ})

2 sin^{2} (x) + cos (x) = 1

arcsin (\frac{3}{5})

arcsin (- \frac{3}{2})

cot (x) = \frac{sin ( 2 x )}{1 - cos ( 2 x )}

What is the general solution for cos(β)=0.8 ?
The general solution for cos(β)=0.8 is β=0.64350…+2pin,β=2pi-0.64350…+2pin