What is the general solution for sin(θ)=0.4484 ?

The general solution for sin(θ)=0.4484 is θ=0.46497…+2pin,θ=pi-0.46497…+2pin

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sin(θ)=0.4484

sin (θ) = 0.4484

θ = 0.46497 \dots + 2 πn, θ = π - 0.46497 \dots + 2 πn

Degrees

θ = 26.64107 \dots^{\circ} + 36 0^{\circ} n, θ = 153.35892 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.4484

Apply trig inverse properties

sin (θ) = 0.4484

General solutions for

sin (θ) = 0.4484

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

θ = arcsin (0.4484) + 2 πn, θ = π - arcsin (0.4484) + 2 πn

θ = arcsin (0.4484) + 2 πn, θ = π - arcsin (0.4484) + 2 πn

Show solutions in decimal form

θ = 0.46497 \dots + 2 πn, θ = π - 0.46497 \dots + 2 πn

sin (5 x - 28) = cos (3 x - 50)

sin (x) - 1 - 3 sin^{2} (x) = 0

2 cos^{2} (x) + 2 cos (x) - 3 = 0

sec^{2} (x) cot (x) = 8, 0 < x < π

tan (x) = \frac{1.5}{2}

What is the general solution for sin(θ)=0.4484 ?
The general solution for sin(θ)=0.4484 is θ=0.46497…+2pin,θ=pi-0.46497…+2pin