What is the general solution for cos(x)=0.56 ?

The general solution for cos(x)=0.56 is x=0.97641…+2pin,x=2pi-0.97641…+2pin

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cos(x)=0.56

cos (x) = 0.56

x = 0.97641 \dots + 2 πn, x = 2 π - 0.97641 \dots + 2 πn

Degrees

x = 55.94420 \dots^{\circ} + 36 0^{\circ} n, x = 304.05579 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.56

Apply trig inverse properties

cos (x) = 0.56

General solutions for

cos (x) = 0.56

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

x = arccos (0.56) + 2 πn, x = 2 π - arccos (0.56) + 2 πn

x = arccos (0.56) + 2 πn, x = 2 π - arccos (0.56) + 2 πn

Show solutions in decimal form

x = 0.97641 \dots + 2 πn, x = 2 π - 0.97641 \dots + 2 πn

3 - cot^{2} (x) = 0

(- 4 cos (x) + 2 sin (x))^{2} + 12 sin^{2} (x) = 24

8 cos^{2} (x) = 2 sin (x) + 7

2 sin^{2} (x) - cos (- x) - 1 = 0

4 sin^{2} (x) = tan^{2} (x)

What is the general solution for cos(x)=0.56 ?
The general solution for cos(x)=0.56 is x=0.97641…+2pin,x=2pi-0.97641…+2pin