What is the general solution for cos(x)=0.52 ?

The general solution for cos(x)=0.52 is x=1.02394…+2pin,x=2pi-1.02394…+2pin

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cos(x)=0.52

cos (x) = 0.52

x = 1.02394 \dots + 2 πn, x = 2 π - 1.02394 \dots + 2 πn

Degrees

x = 58.66774 \dots^{\circ} + 36 0^{\circ} n, x = 301.33225 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.52

Apply trig inverse properties

cos (x) = 0.52

General solutions for

cos (x) = 0.52

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

x = arccos (0.52) + 2 πn, x = 2 π - arccos (0.52) + 2 πn

x = arccos (0.52) + 2 πn, x = 2 π - arccos (0.52) + 2 πn

Show solutions in decimal form

x = 1.02394 \dots + 2 πn, x = 2 π - 1.02394 \dots + 2 πn

sec^{2} (x) - 2 sec (x) = 0

- 9 tan^{2} (θ) - 1 = - 6 tan (θ)

2 cos (2 θ) - 1 = 0

4 cos (2 x) - 1 = 0

cos (x) sin (x) = 0

What is the general solution for cos(x)=0.52 ?
The general solution for cos(x)=0.52 is x=1.02394…+2pin,x=2pi-1.02394…+2pin