What is the general solution for (sin(b))/(350)=(sin(153))/(536) ?

The general solution for (sin(b))/(350)=(sin(153))/(536) is b=0.30097…+360n,b=180-0.30097…+360n

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(sin(b))/(350)=(sin(153))/(536)

\frac{sin ( b )}{350} = \frac{sin ( 15 3 ^{\circ} )}{536}

b = 0.30097 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.30097 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( b )}{350} = \frac{sin ( 15 3 ^{\circ} )}{536}

sin (15 3^{\circ}) = \frac{2 4 - 2 5 - 5}{4}

\frac{sin ( b )}{350} = \frac{\frac{2 4 - 2 5 - 5}{4}}{536}

Multiply both sides by

10

\frac{sin ( b )}{35} = \frac{5 2 - 2 5 - 5 + 4}{1072}

Multiply both sides by

35

sin (b) = \frac{175 2 - 2 5 - 5 + 4}{1072}

Apply trig inverse properties

b = arcsin \frac{175 2 - 2 5 - 5 + 4}{1072} + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin \frac{175 2 - 2 5 - 5 + 4}{1072} + 36 0^{\circ} n

Show solutions in decimal form

b = 0.30097 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.30097 \dots + 36 0^{\circ} n

- 1 - 2 cos^{2} (x) + 3 cos (x) = 0

2 cos (2 x) + cos (x) = 0

sin (x) = - 0.435

sin (θ) = \frac{10 sin ( 10 5 ^{\circ} )}{24.6}

0.175 = 0.34 sin (93.4 x)

What is the general solution for (sin(b))/(350)=(sin(153))/(536) ?
The general solution for (sin(b))/(350)=(sin(153))/(536) is b=0.30097…+360n,b=180-0.30097…+360n