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

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

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10cos(θ)=8

10 cos (θ) = 8

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

Degrees

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

Solution steps

10 cos (θ) = 8

Divide both sides by

10

10 cos (θ) = 8

Divide both sides by

10

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

Simplify

cos (θ) = \frac{4}{5}

cos (θ) = \frac{4}{5}

Apply trig inverse properties

cos (θ) = \frac{4}{5}

General solutions for

cos (θ) = \frac{4}{5}

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

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

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

Show solutions in decimal form

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

cos (θ) = \frac{- 18}{20 \cdot 26}

sin (2 x) = - cos (x), 0 \leq x \leq 2 π

sin (θ) = \frac{5 π}{6}

sin (x) = \frac{4.2}{9.9}

sin (x) - 0.5 cos (x) = 0.1

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