What is the general solution for sin(x)=(0.46)/(9.46) ?

The general solution for sin(x)=(0.46)/(9.46) is x=0.04864…+2pin,x=pi-0.04864…+2pin

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sin(x)=(0.46)/(9.46)

sin (x) = \frac{0.46}{9.46}

x = 0.04864 \dots + 2 πn, x = π - 0.04864 \dots + 2 πn

Degrees

x = 2.78715 \dots^{\circ} + 36 0^{\circ} n, x = 177.21284 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{0.46}{9.46}

Apply trig inverse properties

sin (x) = \frac{0.46}{9.46}

General solutions for

sin (x) = \frac{0.46}{9.46}

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

x = arcsin (\frac{0.46}{9.46}) + 2 πn, x = π - arcsin (\frac{0.46}{9.46}) + 2 πn

x = arcsin (\frac{0.46}{9.46}) + 2 πn, x = π - arcsin (\frac{0.46}{9.46}) + 2 πn

Show solutions in decimal form

x = 0.04864 \dots + 2 πn, x = π - 0.04864 \dots + 2 πn

2 cos^{2} (x) - 7 cos (x) + 3 = 0, 0 < x < 2 π

arccos (x) = arcsin (\frac{1}{3}) + arcsin (\frac{7}{9})

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

tan (θ) = - \frac{1}{5}

\frac{sin ( 7 0 ^{\circ} )}{25} = \frac{sin ( c )}{26}

What is the general solution for sin(x)=(0.46)/(9.46) ?
The general solution for sin(x)=(0.46)/(9.46) is x=0.04864…+2pin,x=pi-0.04864…+2pin