What is the general solution for cos(x)=0.9224 ?

The general solution for cos(x)=0.9224 is x=0.39654…+2pin,x=2pi-0.39654…+2pin

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cos(x)=0.9224

cos (x) = 0.9224

x = 0.39654 \dots + 2 πn, x = 2 π - 0.39654 \dots + 2 πn

Degrees

x = 22.72049 \dots^{\circ} + 36 0^{\circ} n, x = 337.27950 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.9224

Apply trig inverse properties

cos (x) = 0.9224

General solutions for

cos (x) = 0.9224

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

x = arccos (0.9224) + 2 πn, x = 2 π - arccos (0.9224) + 2 πn

x = arccos (0.9224) + 2 πn, x = 2 π - arccos (0.9224) + 2 πn

Show solutions in decimal form

x = 0.39654 \dots + 2 πn, x = 2 π - 0.39654 \dots + 2 πn

- 9 sin^{2} (θ) + 3 cos (θ) - 2 = - 9

4 sin (x) = 4 cos (x)

sin (θ) + cos (θ) = - 1

6 sin (3 x) = 0

tan (x) = \frac{7}{24}

What is the general solution for cos(x)=0.9224 ?
The general solution for cos(x)=0.9224 is x=0.39654…+2pin,x=2pi-0.39654…+2pin