What is the general solution for cos(x)= 40/41 ?

The general solution for cos(x)= 40/41 is x=0.22131…+2pin,x=2pi-0.22131…+2pin

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cos(x)= 40/41

cos (x) = \frac{40}{41}

x = 0.22131 \dots + 2 πn, x = 2 π - 0.22131 \dots + 2 πn

Solution steps

cos (x) = \frac{40}{41}

Apply trig inverse properties

x = arccos (\frac{40}{41}) + 2 πn, x = 2 π - arccos (\frac{40}{41}) + 2 πn

Show solutions in decimal form

x = 0.22131 \dots + 2 πn, x = 2 π - 0.22131 \dots + 2 πn

sin (x) + cos (x) = 4

x, ln (y) = sin (x)

sin (θ) + cos (θ) = \frac{3}{2}

sin (x) + \frac{π}{2} = cos (x)

5 cos (x) - 3 = 9 cos (x) - 5

What is the general solution for cos(x)= 40/41 ?
The general solution for cos(x)= 40/41 is x=0.22131…+2pin,x=2pi-0.22131…+2pin