What is the general solution for cos(x)= 6/(7sqrt(76)) ?

The general solution for cos(x)= 6/(7sqrt(76)) is x=1.47231…+2pin,x=2pi-1.47231…+2pin

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cos(x)= 6/(7sqrt(76))

cos (x) = \frac{6}{7 76}

x = 1.47231 \dots + 2 πn, x = 2 π - 1.47231 \dots + 2 πn

Solution steps

cos (x) = \frac{6}{7 76}

Simplify

\frac{6}{7 76} : \frac{3 19}{133}

Apply trig inverse properties

x = arccos (\frac{3 19}{133}) + 2 πn, x = 2 π - arccos (\frac{3 19}{133}) + 2 πn

Show solutions in decimal form

x = 1.47231 \dots + 2 πn, x = 2 π - 1.47231 \dots + 2 πn

2 sin (φ) - 1 = 0

sin (x - 2 0^{\circ}) = cos (x)

x, z = sin^{2} (x - 2 π y)

sin (θ) = \frac{3}{3 5}

6 cos (θ) sin (θ) + cos (θ) = 0

What is the general solution for cos(x)= 6/(7sqrt(76)) ?
The general solution for cos(x)= 6/(7sqrt(76)) is x=1.47231…+2pin,x=2pi-1.47231…+2pin