What is the general solution for cos(θ)=(5713634.83)/((2236)(3733)) ?

The general solution for cos(θ)=(5713634.83)/((2236)(3733)) is θ=0.81685…+2pin,θ=2pi-0.81685…+2pin

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cos(θ)=(5713634.83)/((2236)(3733))

cos (θ) = \frac{5713634.83}{( 2236 ) ( 3733 )}

θ = 0.81685 \dots + 2 πn, θ = 2 π - 0.81685 \dots + 2 πn

Solution steps

cos (θ) = \frac{5713634.83}{( 2236 ) ( 3733 )}

Multiply the numbers:

2236 \cdot 3733 = 8346988

cos (θ) = \frac{5713634.83}{8346988}

Apply trig inverse properties

θ = arccos (\frac{5713634.83}{8346988}) + 2 πn, θ = 2 π - arccos (\frac{5713634.83}{8346988}) + 2 πn

Show solutions in decimal form

θ = 0.81685 \dots + 2 πn, θ = 2 π - 0.81685 \dots + 2 πn

sin (x) = \frac{3}{58}

cos (2 x + 1) = 0

cos (4 x) = \frac{- 3}{2}

(sec (x))^{2} = 0

3 cos (x) sin (x) = sin (x)

What is the general solution for cos(θ)=(5713634.83)/((2236)(3733)) ?
The general solution for cos(θ)=(5713634.83)/((2236)(3733)) is θ=0.81685…+2pin,θ=2pi-0.81685…+2pin