What is the general solution for cos(x)= 1249/1250 ?

The general solution for cos(x)= 1249/1250 is x=0.04000…+2pin,x=2pi-0.04000…+2pin

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cos(x)= 1249/1250

cos (x) = \frac{1249}{1250}

x = 0.04000 \dots + 2 πn, x = 2 π - 0.04000 \dots + 2 πn

Degrees

x = 2.29198 \dots^{\circ} + 36 0^{\circ} n, x = 357.70801 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{1249}{1250}

Apply trig inverse properties

cos (x) = \frac{1249}{1250}

General solutions for

cos (x) = \frac{1249}{1250}

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

x = arccos (\frac{1249}{1250}) + 2 πn, x = 2 π - arccos (\frac{1249}{1250}) + 2 πn

x = arccos (\frac{1249}{1250}) + 2 πn, x = 2 π - arccos (\frac{1249}{1250}) + 2 πn

Show solutions in decimal form

x = 0.04000 \dots + 2 πn, x = 2 π - 0.04000 \dots + 2 πn

sec (θ) = \frac{9}{7}

4 cos (x - π) = 4

cot (x) (tan (x) - \frac{3}{3}) = 0

3 = sec (x)

2 cos (2 x) = 1

What is the general solution for cos(x)= 1249/1250 ?
The general solution for cos(x)= 1249/1250 is x=0.04000…+2pin,x=2pi-0.04000…+2pin