What is the general solution for sin(θ)=0.56 ?

The general solution for sin(θ)=0.56 is θ=0.59438…+2pin,θ=pi-0.59438…+2pin

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sin(θ)=0.56

sin (θ) = 0.56

θ = 0.59438 \dots + 2 πn, θ = π - 0.59438 \dots + 2 πn

Degrees

θ = 34.05579 \dots^{\circ} + 36 0^{\circ} n, θ = 145.94420 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.56

Apply trig inverse properties

sin (θ) = 0.56

General solutions for

sin (θ) = 0.56

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

θ = arcsin (0.56) + 2 πn, θ = π - arcsin (0.56) + 2 πn

θ = arcsin (0.56) + 2 πn, θ = π - arcsin (0.56) + 2 πn

Show solutions in decimal form

θ = 0.59438 \dots + 2 πn, θ = π - 0.59438 \dots + 2 πn

cos (x) - 5 sin (2 x) = 0

sin (θ) = 0.15

6 cos (2 θ) = 6 cos (θ)

tan (\frac{θ}{2}) = csc^{2} (θ) - cot^{2} (θ)

6 cos^{2} (x) - sin (x) - 4 = 0

What is the general solution for sin(θ)=0.56 ?
The general solution for sin(θ)=0.56 is θ=0.59438…+2pin,θ=pi-0.59438…+2pin