What is the general solution for sin(θ)=0.9 ?

The general solution for sin(θ)=0.9 is θ=1.11976…+2pin,θ=pi-1.11976…+2pin

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sin(θ)=0.9

sin (θ) = 0.9

θ = 1.11976 \dots + 2 πn, θ = π - 1.11976 \dots + 2 πn

Degrees

θ = 64.15806 \dots^{\circ} + 36 0^{\circ} n, θ = 115.84193 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.9

Apply trig inverse properties

sin (θ) = 0.9

General solutions for

sin (θ) = 0.9

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

θ = arcsin (0.9) + 2 πn, θ = π - arcsin (0.9) + 2 πn

θ = arcsin (0.9) + 2 πn, θ = π - arcsin (0.9) + 2 πn

Show solutions in decimal form

θ = 1.11976 \dots + 2 πn, θ = π - 1.11976 \dots + 2 πn

sin (θ) = 0.5

3 + tan (2 x) = 0

csc (2 x) = 2

tan (x) = \frac{3}{3}

6 (1 - cos (θ)) = sin^{2} (θ)

What is the general solution for sin(θ)=0.9 ?
The general solution for sin(θ)=0.9 is θ=1.11976…+2pin,θ=pi-1.11976…+2pin