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

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

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10cos(x)=8

10 cos (x) = 8

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

10 cos (x) = 8

Divide both sides by

10

10 cos (x) = 8

Divide both sides by

10

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

Simplify

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

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) = 6 cos^{2} (x)

1 + cot^{2} (θ) = 1.33

x, r + s - 6 t = cos (2 x + y)

cos (x) + cos^{3} (x) = 0

- 2 cos (\frac{θ}{2}) = 0

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