What is the general solution for cos(x)=(4.1)/(7.9) ?

The general solution for cos(x)=(4.1)/(7.9) is x=1.02513…+2pin,x=2pi-1.02513…+2pin

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cos(x)=(4.1)/(7.9)

cos (x) = \frac{4.1}{7.9}

x = 1.02513 \dots + 2 πn, x = 2 π - 1.02513 \dots + 2 πn

Solution steps

cos (x) = \frac{4.1}{7.9}

Apply trig inverse properties

x = arccos (\frac{4.1}{7.9}) + 2 πn, x = 2 π - arccos (\frac{4.1}{7.9}) + 2 πn

Show solutions in decimal form

x = 1.02513 \dots + 2 πn, x = 2 π - 1.02513 \dots + 2 πn

tan (2 x) - 2 sin (x) = 0

sin^{2} (x) - 2 sin (x) + 3 = 0

csc^{2} (x) - csc (x) = 2

cos (4 x) = \frac{- 1}{2}

2 cos (2 x) + sin (x) = 1

What is the general solution for cos(x)=(4.1)/(7.9) ?
The general solution for cos(x)=(4.1)/(7.9) is x=1.02513…+2pin,x=2pi-1.02513…+2pin