What is the general solution for cos(x)= 5/7 ?

The general solution for cos(x)= 5/7 is x=0.77519…+2pin,x=2pi-0.77519…+2pin

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cos(x)= 5/7

cos (x) = \frac{5}{7}

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

Solution steps

cos (x) = \frac{5}{7}

Apply trig inverse properties

x = arccos (\frac{5}{7}) + 2 πn, x = 2 π - arccos (\frac{5}{7}) + 2 πn

Show solutions in decimal form

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

cos (8 x) = 0

sin (x) + 2 sin (x) cos (x) = 0, 0 \leq x \leq 2 π

9 cos^{2} (θ) - 24 sin (θ) - 10 = - 8 sin (θ) + 6

cos^{2} (θ) = sin^{2} (θ) - 1

2 cos (2 θ) = - 3

What is the general solution for cos(x)= 5/7 ?
The general solution for cos(x)= 5/7 is x=0.77519…+2pin,x=2pi-0.77519…+2pin