What is the general solution for sin(θ)=0.9063 ?

The general solution for sin(θ)=0.9063 is θ=1.13444…+2pin,θ=pi-1.13444…+2pin

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sin(θ)=0.9063

sin (θ) = 0.9063

θ = 1.13444 \dots + 2 πn, θ = π - 1.13444 \dots + 2 πn

Degrees

θ = 64.99894 \dots^{\circ} + 36 0^{\circ} n, θ = 115.00105 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.9063

Apply trig inverse properties

sin (θ) = 0.9063

General solutions for

sin (θ) = 0.9063

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

θ = arcsin (0.9063) + 2 πn, θ = π - arcsin (0.9063) + 2 πn

θ = arcsin (0.9063) + 2 πn, θ = π - arcsin (0.9063) + 2 πn

Show solutions in decimal form

θ = 1.13444 \dots + 2 πn, θ = π - 1.13444 \dots + 2 πn

a \cdot sin (x) + b \cdot cos (x) = 0

cos (θ) = - 0.19

9 cos^{2} (x) = 2

tan (θ) = \frac{6}{14}

tan (θ) = \frac{6}{15}

What is the general solution for sin(θ)=0.9063 ?
The general solution for sin(θ)=0.9063 is θ=1.13444…+2pin,θ=pi-1.13444…+2pin