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

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

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cos(x)=0.9

cos (x) = 0.9

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

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

4 sin^{2} (\frac{θ}{2}) + 8 cos (\frac{θ}{2}) - 7 = 0

11 sin (x) + 5 = sin (x)

cos (x) = 2 sin (x)

- 16 sin (4 x) = 0

3 tan (θ) + 1 = 0

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