What is the general solution for cos(x)= 9/10 ?

The general solution for cos(x)= 9/10 is x=0.45102…+2pin,x=2pi-0.45102…+2pin

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cos(x)= 9/10

cos (x) = \frac{9}{10}

x = 0.45102 \dots + 2 πn, x = 2 π - 0.45102 \dots + 2 πn

Solution steps

cos (x) = \frac{9}{10}

Apply trig inverse properties

x = arccos (\frac{9}{10}) + 2 πn, x = 2 π - arccos (\frac{9}{10}) + 2 πn

Show solutions in decimal form

x = 0.45102 \dots + 2 πn, x = 2 π - 0.45102 \dots + 2 πn

cos^{2} (x) + 4 cos (x) + 4 = 0

2 cos (x) = tan (x)

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

sin^{3} (a) = 3 sin (a) - 4 sin^{3} (a)

cos (3 x) = \frac{3}{2}

What is the general solution for cos(x)= 9/10 ?
The general solution for cos(x)= 9/10 is x=0.45102…+2pin,x=2pi-0.45102…+2pin