What is the general solution for sin(θ)= 4/5 ?

The general solution for sin(θ)= 4/5 is θ=0.92729…+2pin,θ=pi-0.92729…+2pin

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sin(θ)= 4/5

sin (θ) = \frac{4}{5}

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

Solution steps

sin (θ) = \frac{4}{5}

Apply trig inverse properties

θ = arcsin (\frac{4}{5}) + 2 πn, θ = π - arcsin (\frac{4}{5}) + 2 πn

Show solutions in decimal form

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

tan (θ) = 1

sin (x) = 1

tan (θ) = - \frac{3}{3}

tanh (1)

tan (\frac{5 π}{4})

What is the general solution for sin(θ)= 4/5 ?
The general solution for sin(θ)= 4/5 is θ=0.92729…+2pin,θ=pi-0.92729…+2pin