What is the general solution for 0.9=cos(x) ?

The general solution for 0.9=cos(x) is x=0.45102…+2pin,x=2pi-0.45102…+2pin

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0.9=cos(x)

0.9 = cos (x)

x = 0.45102 \dots + 2 πn, x = 2 π - 0.45102 \dots + 2 πn

Degrees

x = 25.84193 \dots^{\circ} + 36 0^{\circ} n, x = 334.15806 \dots^{\circ} + 36 0^{\circ} n

Solution steps

0.9 = cos (x)

Switch sides

cos (x) = 0.9

Apply trig inverse properties

cos (x) = 0.9

General solutions for

cos (x) = 0.9

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

x = arccos (0.9) + 2 πn, x = 2 π - arccos (0.9) + 2 πn

x = arccos (0.9) + 2 πn, x = 2 π - arccos (0.9) + 2 πn

Show solutions in decimal form

x = 0.45102 \dots + 2 πn, x = 2 π - 0.45102 \dots + 2 πn

cos (x) = \frac{8}{9}

5 - 6 cos (θ) = 33 + 5 - 3 cos (θ)

tan (4 θ) = 0

4 sin (x) = tan (x)

sin (a) = \frac{7}{25}

What is the general solution for 0.9=cos(x) ?
The general solution for 0.9=cos(x) is x=0.45102…+2pin,x=2pi-0.45102…+2pin