What is the general solution for sin(θ)=0.9903 ?

The general solution for sin(θ)=0.9903 is θ=1.43139…+2pin,θ=pi-1.43139…+2pin

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sin(θ)=0.9903

sin (θ) = 0.9903

θ = 1.43139 \dots + 2 πn, θ = π - 1.43139 \dots + 2 πn

Solution steps

sin (θ) = 0.9903

Apply trig inverse properties

θ = arcsin (0.9903) + 2 πn, θ = π - arcsin (0.9903) + 2 πn

Show solutions in decimal form

θ = 1.43139 \dots + 2 πn, θ = π - 1.43139 \dots + 2 πn

tan (θ) = \frac{17}{7}

θ, cos (θ) = \frac{6}{85}

\frac{sin ( 8 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}, x \cdot \frac{180}{π} = y

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

sin^{2} (x) = 2 cos (x) - 1

What is the general solution for sin(θ)=0.9903 ?
The general solution for sin(θ)=0.9903 is θ=1.43139…+2pin,θ=pi-1.43139…+2pin