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

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

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cos(a)=0.8

cos (a) = 0.8

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

Degrees

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

Solution steps

cos (a) = 0.8

Apply trig inverse properties

cos (a) = 0.8

General solutions for

cos (a) = 0.8

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

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

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

Show solutions in decimal form

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

cos (a) = 0.6

5 cos^{2} (θ) = 6 sin (θ)

8 tan (θ) = 0

12 cos^{2} (x) + 11 cos (x) - 5 = 0

2 cos^{2} (x) + 3 cos (x) + 1 = 0, 0 \leq x \leq 2 π

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