What is the general solution for cos(x)= 45/52 ?

The general solution for cos(x)= 45/52 is x=0.52487…+2pin,x=2pi-0.52487…+2pin

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cos(x)= 45/52

cos (x) = \frac{45}{52}

x = 0.52487 \dots + 2 πn, x = 2 π - 0.52487 \dots + 2 πn

Solution steps

cos (x) = \frac{45}{52}

Apply trig inverse properties

x = arccos (\frac{45}{52}) + 2 πn, x = 2 π - arccos (\frac{45}{52}) + 2 πn

Show solutions in decimal form

x = 0.52487 \dots + 2 πn, x = 2 π - 0.52487 \dots + 2 πn

x, cos (2 x) = \frac{m - 1}{m + 1}

6 tan^{2} (x) + 8 = 10

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

sin^{2} (θ) = 2 cos (θ) + 1

sin (6 x) cos (10 x) - cos (6 x) sin (10 x) = - 0.1

What is the general solution for cos(x)= 45/52 ?
The general solution for cos(x)= 45/52 is x=0.52487…+2pin,x=2pi-0.52487…+2pin