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Popular >

cos(θ)=(210^{-5})/(5410^{-6)}

Solution

cos (θ) = \frac{2 \cdot 1 0 ^{- 5}}{54 \cdot 1 0 ^{- 6}}

Solution

θ = 1.19138 \dots + 2 πn, θ = 2 π - 1.19138 \dots + 2 πn

+1

Solution steps

cos (θ) = \frac{2 \cdot 1 0 ^{- 5}}{54 \cdot 1 0 ^{- 6}}

Simplify

\frac{2 \cdot 1 0 ^{- 5}}{54 \cdot 1 0 ^{- 6}} : \frac{10}{27}

Apply trig inverse properties

θ = arccos (\frac{10}{27}) + 2 πn, θ = 2 π - arccos (\frac{10}{27}) + 2 πn

Show solutions in decimal form

θ = 1.19138 \dots + 2 πn, θ = 2 π - 1.19138 \dots + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for cos(θ)=(2*10^{-5})/(54*10^{-6)} ?
The general solution for cos(θ)=(2*10^{-5})/(54*10^{-6)} is θ=1.19138…+2pin,θ=2pi-1.19138…+2pin