What is the general solution for cos(x)=0.24 ?

The general solution for cos(x)=0.24 is x=1.32843…+2pin,x=2pi-1.32843…+2pin

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cos(x)=0.24

cos (x) = 0.24

x = 1.32843 \dots + 2 πn, x = 2 π - 1.32843 \dots + 2 πn

Degrees

x = 76.11345 \dots^{\circ} + 36 0^{\circ} n, x = 283.88654 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.24

Apply trig inverse properties

cos (x) = 0.24

General solutions for

cos (x) = 0.24

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

x = arccos (0.24) + 2 πn, x = 2 π - arccos (0.24) + 2 πn

x = arccos (0.24) + 2 πn, x = 2 π - arccos (0.24) + 2 πn

Show solutions in decimal form

x = 1.32843 \dots + 2 πn, x = 2 π - 1.32843 \dots + 2 πn

\frac{π}{2} = sin (x)

sec^{4} (x) - 4 = 0

sin^{2} (θ) - 1 = 0, 0 \leq θ \leq 2 π

cos (3 θ) = \frac{3}{2}

tan^{2} (θ) - 1 = 0, π \leq θ \leq 2 π

What is the general solution for cos(x)=0.24 ?
The general solution for cos(x)=0.24 is x=1.32843…+2pin,x=2pi-1.32843…+2pin