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Popular >

10=sqrt(65)sqrt(5)cos(θ)

Solution

10 = 65 \cdot 5 \cdot cos (θ)

Solution

θ = 0.98279 \dots + 2 πn, θ = 2 π - 0.98279 \dots + 2 πn

+1

Solution steps

10 = 655 cos (θ)

Switch sides

655 cos (θ) = 10

Simplify

655 : 513

513 cos (θ) = 10

Divide both sides by

513

cos (θ) = \frac{2 13}{13}

Apply trig inverse properties

θ = arccos (\frac{2 13}{13}) + 2 πn, θ = 2 π - arccos (\frac{2 13}{13}) + 2 πn

Show solutions in decimal form

θ = 0.98279 \dots + 2 πn, θ = 2 π - 0.98279 \dots + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for 10=sqrt(65)*sqrt(5)*cos(θ) ?
The general solution for 10=sqrt(65)*sqrt(5)*cos(θ) is θ=0.98279…+2pin,θ=2pi-0.98279…+2pin