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

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

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cos(θ)= 3/5

cos (θ) = \frac{3}{5}

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

Degrees

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{3}{5}

Apply trig inverse properties

cos (θ) = \frac{3}{5}

General solutions for

cos (θ) = \frac{3}{5}

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

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

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

sin (x) = - 2

sin (\frac{x}{2}) + cos (x) - 1 = 0

3 sin (x) sec (x) = 2 sin (x)

y, x = sin (y)

2 sin (\frac{x}{2}) + 3 = 0

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