What is the general solution for sin(θ)=0.6 ?

The general solution for sin(θ)=0.6 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin

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sin(θ)=0.6

sin (θ) = 0.6

θ = 0.64350 \dots + 2 πn, θ = π - 0.64350 \dots + 2 πn

Degrees

θ = 36.86989 \dots^{\circ} + 36 0^{\circ} n, θ = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.6

Apply trig inverse properties

sin (θ) = 0.6

General solutions for

sin (θ) = 0.6

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (0.6) + 2 πn, θ = π - arcsin (0.6) + 2 πn

θ = arcsin (0.6) + 2 πn, θ = π - arcsin (0.6) + 2 πn

Show solutions in decimal form

θ = 0.64350 \dots + 2 πn, θ = π - 0.64350 \dots + 2 πn

2 sin (x) tan (x) = - 3 tan (x)

42 cos (θ) + 3 = - 1

sin (2 x) = 2 cos (x)

2 cos (x) + 2 sin (2 x) = 0

tan (x) - sin (x) = 0

What is the general solution for sin(θ)=0.6 ?
The general solution for sin(θ)=0.6 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin