What is the general solution for cos(a)=0.33 ?

The general solution for cos(a)=0.33 is a=1.23449…+2pin,a=2pi-1.23449…+2pin

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cos(a)=0.33

cos (a) = 0.33

a = 1.23449 \dots + 2 πn, a = 2 π - 1.23449 \dots + 2 πn

Degrees

a = 70.73122 \dots^{\circ} + 36 0^{\circ} n, a = 289.26877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = 0.33

Apply trig inverse properties

cos (a) = 0.33

General solutions for

cos (a) = 0.33

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

a = arccos (0.33) + 2 πn, a = 2 π - arccos (0.33) + 2 πn

a = arccos (0.33) + 2 πn, a = 2 π - arccos (0.33) + 2 πn

Show solutions in decimal form

a = 1.23449 \dots + 2 πn, a = 2 π - 1.23449 \dots + 2 πn

tan (θ) = \frac{3}{- 2}

4 sin^{2} (r) - sin (r) = 0

tan (θ) = \frac{3}{- 3}

cos (a) = 0.24

sin (x) = 1 5^{\circ}

What is the general solution for cos(a)=0.33 ?
The general solution for cos(a)=0.33 is a=1.23449…+2pin,a=2pi-1.23449…+2pin