What is the general solution for cos(x)=0.96 ?

The general solution for cos(x)=0.96 is x=0.28379…+2pin,x=2pi-0.28379…+2pin

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cos(x)=0.96

cos (x) = 0.96

x = 0.28379 \dots + 2 πn, x = 2 π - 0.28379 \dots + 2 πn

Solution steps

cos (x) = 0.96

Apply trig inverse properties

x = arccos (0.96) + 2 πn, x = 2 π - arccos (0.96) + 2 πn

Show solutions in decimal form

x = 0.28379 \dots + 2 πn, x = 2 π - 0.28379 \dots + 2 πn

2 sin (3 x) + 3 = 0

4 cos^{2} (θ) sin (θ) + 2 cos^{2} (θ) = 0

1 + cos (2 x) = 0

cos^{2} (x) - sin^{2} (x) = \frac{3}{2}

2 sin^{2} (x) + 1 = 4 sin (x)

What is the general solution for cos(x)=0.96 ?
The general solution for cos(x)=0.96 is x=0.28379…+2pin,x=2pi-0.28379…+2pin