What is the general solution for (sin(59))/8 =(sin(x))/(9.25) ?

The general solution for (sin(59))/8 =(sin(x))/(9.25) is x=1.43727…+360n,x=180-1.43727…+360n

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(sin(59))/8 =(sin(x))/(9.25)

\frac{sin ( 5 9 ^{\circ} )}{8} = \frac{sin ( x )}{9.25}

x = 1.43727 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.43727 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( 5 9 ^{\circ} )}{8} = \frac{sin ( x )}{9.25}

Switch sides

\frac{sin ( x )}{9.25} = \frac{sin ( 5 9 ^{\circ} )}{8}

Multiply both sides by

9.25

sin (x) = \frac{9.25 sin ( 5 9 ^{\circ} )}{8}

Apply trig inverse properties

x = arcsin (\frac{9.25 sin ( 5 9 ^{\circ} )}{8}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{9.25 sin ( 5 9 ^{\circ} )}{8}) + 36 0^{\circ} n

Show solutions in decimal form

x = 1.43727 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.43727 \dots + 36 0^{\circ} n

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What is the general solution for (sin(59))/8 =(sin(x))/(9.25) ?
The general solution for (sin(59))/8 =(sin(x))/(9.25) is x=1.43727…+360n,x=180-1.43727…+360n