What is the general solution for cos(a)=0.94 ?

The general solution for cos(a)=0.94 is a=0.34816…+2pin,a=2pi-0.34816…+2pin

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cos(a)=0.94

cos (a) = 0.94

a = 0.34816 \dots + 2 πn, a = 2 π - 0.34816 \dots + 2 πn

Degrees

a = 19.94844 \dots^{\circ} + 36 0^{\circ} n, a = 340.05155 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = 0.94

Apply trig inverse properties

cos (a) = 0.94

General solutions for

cos (a) = 0.94

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

a = arccos (0.94) + 2 πn, a = 2 π - arccos (0.94) + 2 πn

a = arccos (0.94) + 2 πn, a = 2 π - arccos (0.94) + 2 πn

Show solutions in decimal form

a = 0.34816 \dots + 2 πn, a = 2 π - 0.34816 \dots + 2 πn

2 cos (2 x) - 1 = 0

2 cos^{2} (t) - cos (t) - 3 = 0

2 cos (4 θ + 20) = 0.8

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

sin (θ) = \frac{2}{2}, 0 \leq θ \leq 2 π

What is the general solution for cos(a)=0.94 ?
The general solution for cos(a)=0.94 is a=0.34816…+2pin,a=2pi-0.34816…+2pin