What is the general solution for cos(x)=((35))/((57)) ?

The general solution for cos(x)=((35))/((57)) is x=0.90963…+2pin,x=2pi-0.90963…+2pin

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cos(x)=((35))/((57))

cos (x) = \frac{( 35 )}{( 57 )}

x = 0.90963 \dots + 2 πn, x = 2 π - 0.90963 \dots + 2 πn

Solution steps

cos (x) = \frac{( 35 )}{( 57 )}

Apply trig inverse properties

x = arccos (\frac{35}{57}) + 2 πn, x = 2 π - arccos (\frac{35}{57}) + 2 πn

Show solutions in decimal form

x = 0.90963 \dots + 2 πn, x = 2 π - 0.90963 \dots + 2 πn

x, sin^{2} (x) = 0.5

tan^{2} (x) - 3 tan (x) - 28 = 0

cot (x) = - 0.69

sin (θ) = - \frac{1}{8}

0 = 2 cos^{2} (θ) - cos (θ) - 1

What is the general solution for cos(x)=((35))/((57)) ?
The general solution for cos(x)=((35))/((57)) is x=0.90963…+2pin,x=2pi-0.90963…+2pin