What is the general solution for cos(x)=(5.3)/(8.5) ?

The general solution for cos(x)=(5.3)/(8.5) is x=0.89754…+2pin,x=2pi-0.89754…+2pin

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cos(x)=(5.3)/(8.5)

cos (x) = \frac{5.3}{8.5}

x = 0.89754 \dots + 2 πn, x = 2 π - 0.89754 \dots + 2 πn

Solution steps

cos (x) = \frac{5.3}{8.5}

Apply trig inverse properties

x = arccos (\frac{5.3}{8.5}) + 2 πn, x = 2 π - arccos (\frac{5.3}{8.5}) + 2 πn

Show solutions in decimal form

x = 0.89754 \dots + 2 πn, x = 2 π - 0.89754 \dots + 2 πn

sin (3 x) = cos (x)

sin (5 x - 1 0^{\circ}) = \frac{2}{2}

tan (θ) = \frac{3}{6}

sinh (x) = \frac{9}{40}

12 sin (x) = 6

What is the general solution for cos(x)=(5.3)/(8.5) ?
The general solution for cos(x)=(5.3)/(8.5) is x=0.89754…+2pin,x=2pi-0.89754…+2pin