What is the general solution for cos(a)=0.42 ?

The general solution for cos(a)=0.42 is a=1.13735…+2pin,a=2pi-1.13735…+2pin

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cos(a)=0.42

cos (a) = 0.42

a = 1.13735 \dots + 2 πn, a = 2 π - 1.13735 \dots + 2 πn

Degrees

a = 65.16541 \dots^{\circ} + 36 0^{\circ} n, a = 294.83458 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = 0.42

Apply trig inverse properties

cos (a) = 0.42

General solutions for

cos (a) = 0.42

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

a = arccos (0.42) + 2 πn, a = 2 π - arccos (0.42) + 2 πn

a = arccos (0.42) + 2 πn, a = 2 π - arccos (0.42) + 2 πn

Show solutions in decimal form

a = 1.13735 \dots + 2 πn, a = 2 π - 1.13735 \dots + 2 πn

\frac{6}{sin ( 6 0 ^{\circ} )} = \frac{4}{sin ( x )}

10 = 14 + 8 sin (\frac{π t}{12})

sin (4 x) cos (x) - cos (4 x) sin (x) = 1

sec (θ) = \frac{10}{6}

x, 2 cos (3 x) = - 3

What is the general solution for cos(a)=0.42 ?
The general solution for cos(a)=0.42 is a=1.13735…+2pin,a=2pi-1.13735…+2pin