What is the general solution for cos(a)=0.6 ?

The general solution for cos(a)=0.6 is a=0.92729…+2pin,a=2pi-0.92729…+2pin

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cos(a)=0.6

cos (a) = 0.6

a = 0.92729 \dots + 2 πn, a = 2 π - 0.92729 \dots + 2 πn

Degrees

a = 53.13010 \dots^{\circ} + 36 0^{\circ} n, a = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = 0.6

Apply trig inverse properties

cos (a) = 0.6

General solutions for

cos (a) = 0.6

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

a = arccos (0.6) + 2 πn, a = 2 π - arccos (0.6) + 2 πn

a = arccos (0.6) + 2 πn, a = 2 π - arccos (0.6) + 2 πn

Show solutions in decimal form

a = 0.92729 \dots + 2 πn, a = 2 π - 0.92729 \dots + 2 πn

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

- sin (x) + cos (x) = 1

What is the general solution for cos(a)=0.6 ?
The general solution for cos(a)=0.6 is a=0.92729…+2pin,a=2pi-0.92729…+2pin