What is the general solution for sin(θ)=0.64 ?

The general solution for sin(θ)=0.64 is θ=0.69449…+2pin,θ=pi-0.69449…+2pin

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sin(θ)=0.64

sin (θ) = 0.64

θ = 0.69449 \dots + 2 πn, θ = π - 0.69449 \dots + 2 πn

Solution steps

sin (θ) = 0.64

Apply trig inverse properties

θ = arcsin (0.64) + 2 πn, θ = π - arcsin (0.64) + 2 πn

Show solutions in decimal form

θ = 0.69449 \dots + 2 πn, θ = π - 0.69449 \dots + 2 πn

tan (θ) = \frac{6}{5}

sin (2 x) = 2 cos (x), 0 \leq x \leq 2 π

y, x = arccos (y)

tan (x) = \frac{- 1}{1}

4 cos (θ) = 1 - cos (θ)

What is the general solution for sin(θ)=0.64 ?
The general solution for sin(θ)=0.64 is θ=0.69449…+2pin,θ=pi-0.69449…+2pin