What is the general solution for 3-5cos(θ)=0 ?

The general solution for 3-5cos(θ)=0 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin

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3-5cos(θ)=0

3 - 5 cos (θ) = 0

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

Solution steps

3 - 5 cos (θ) = 0

Move

3

to the right side

- 5 cos (θ) = - 3

Divide both sides by

- 5

cos (θ) = \frac{3}{5}

Apply trig inverse properties

θ = arccos (\frac{3}{5}) + 2 πn, θ = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

tan (x) = \frac{48}{50}

\frac{sin ( 5 4 ^{\circ} )}{7} = \frac{sin ( x )}{10}

sin (y) = \frac{- 1}{2}

5 sin (3 x) - 11 = 3 sin (3 x) - 12

885 cos (θ) - 70 = cos (25 0^{\circ}) + 25 0^{\circ}

What is the general solution for 3-5cos(θ)=0 ?
The general solution for 3-5cos(θ)=0 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin