What is the general solution for cos(θ)=(198.36)/(229.4) ?

The general solution for cos(θ)=(198.36)/(229.4) is θ=0.52626…+2pin,θ=2pi-0.52626…+2pin

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cos(θ)=(198.36)/(229.4)

cos (θ) = \frac{198.36}{229.4}

θ = 0.52626 \dots + 2 πn, θ = 2 π - 0.52626 \dots + 2 πn

Degrees

θ = 30.15261 \dots^{\circ} + 36 0^{\circ} n, θ = 329.84738 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{198.36}{229.4}

Apply trig inverse properties

cos (θ) = \frac{198.36}{229.4}

General solutions for

cos (θ) = \frac{198.36}{229.4}

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

θ = arccos (\frac{198.36}{229.4}) + 2 πn, θ = 2 π - arccos (\frac{198.36}{229.4}) + 2 πn

θ = arccos (\frac{198.36}{229.4}) + 2 πn, θ = 2 π - arccos (\frac{198.36}{229.4}) + 2 πn

Show solutions in decimal form

θ = 0.52626 \dots + 2 πn, θ = 2 π - 0.52626 \dots + 2 πn

(cos (x) - 1) (tan (x) - 1) = 0

- cos (2 x + 3) = 0

tan (2 x) = \frac{- 270 - 120}{130}

cos^{2} (θ) = \frac{2 - 3}{4}

sin (2 x) = \frac{π}{6}

What is the general solution for cos(θ)=(198.36)/(229.4) ?
The general solution for cos(θ)=(198.36)/(229.4) is θ=0.52626…+2pin,θ=2pi-0.52626…+2pin