What is the general solution for sin(θ)=0.72437 ?

The general solution for sin(θ)=0.72437 is θ=0.81012…+2pin,θ=pi-0.81012…+2pin

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sin(θ)=0.72437

sin (θ) = 0.72437

θ = 0.81012 \dots + 2 πn, θ = π - 0.81012 \dots + 2 πn

Solution steps

sin (θ) = 0.72437

Apply trig inverse properties

θ = arcsin (0.72437) + 2 πn, θ = π - arcsin (0.72437) + 2 πn

Show solutions in decimal form

θ = 0.81012 \dots + 2 πn, θ = π - 0.81012 \dots + 2 πn

cos (x) = \frac{5}{12}

2 cos^{2} (x) + cos (x) - 10 = 0

a, 9 0^{\circ} = 18 0^{\circ} - 2 \cdot arccos (\frac{2 a}{c})

cos (x) = \frac{π}{4}

cot (x) = \frac{3}{7}, cos (x) > 0

What is the general solution for sin(θ)=0.72437 ?
The general solution for sin(θ)=0.72437 is θ=0.81012…+2pin,θ=pi-0.81012…+2pin