What is the general solution for cos(x)= 64/83 ?

The general solution for cos(x)= 64/83 is x=0.69025…+2pin,x=2pi-0.69025…+2pin

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cos(x)= 64/83

cos (x) = \frac{64}{83}

x = 0.69025 \dots + 2 πn, x = 2 π - 0.69025 \dots + 2 πn

Solution steps

cos (x) = \frac{64}{83}

Apply trig inverse properties

x = arccos (\frac{64}{83}) + 2 πn, x = 2 π - arccos (\frac{64}{83}) + 2 πn

Show solutions in decimal form

x = 0.69025 \dots + 2 πn, x = 2 π - 0.69025 \dots + 2 πn

2 sin (z) = 1

cos (\frac{π}{2} - θ) = - sin (θ)

tan^{2} (x) + tan (x) = 0, 0 \leq x \leq 2 π

sin (y) + 2 = 0

sin (θ) cos (θ) - 2 sin (θ) = 0

What is the general solution for cos(x)= 64/83 ?
The general solution for cos(x)= 64/83 is x=0.69025…+2pin,x=2pi-0.69025…+2pin