What is the general solution for cos(x)= 8/10 ?

The general solution for cos(x)= 8/10 is x=0.64350…+2pin,x=2pi-0.64350…+2pin

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cos(x)= 8/10

cos (x) = \frac{8}{10}

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{8}{10}

Cancel the common factor:

2

cos (x) = \frac{4}{5}

Apply trig inverse properties

cos (x) = \frac{4}{5}

General solutions for

cos (x) = \frac{4}{5}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

2 sin^{2} (x) + 3 = 0

cos (x) + \frac{1}{2} = 0

cot (\frac{2 x}{3}) = - 3

sin (x) - 2 sin^{2} (x) = 0

sin (2 θ) + sin (θ) = 0, 0 \leq θ < 2 π

What is the general solution for cos(x)= 8/10 ?
The general solution for cos(x)= 8/10 is x=0.64350…+2pin,x=2pi-0.64350…+2pin