What is the general solution for (sin(b))/(19)=(sin(74))/(19) ?

The general solution for (sin(b))/(19)=(sin(74))/(19) is b=1.29154…+360n,b=180-1.29154…+360n

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(sin(b))/(19)=(sin(74))/(19)

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

b = 1.29154 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.29154 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

Multiply both sides by

19

sin (b) = sin (7 4^{\circ})

Apply trig inverse properties

b = arcsin (sin (7 4^{\circ})) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (sin (7 4^{\circ})) + 36 0^{\circ} n

Show solutions in decimal form

b = 1.29154 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.29154 \dots + 36 0^{\circ} n

- 8 cos^{2} (x) + 6 = 2

sin (x) = \frac{10}{20}

\frac{sin ( x ) + cos ( x )}{sin ( x )} = 1 - \frac{1}{tan ( x )}

6 cos^{2} (x) - 5 sin (x) - 2 = 0

sec (θ) = - \frac{7}{4}

What is the general solution for (sin(b))/(19)=(sin(74))/(19) ?
The general solution for (sin(b))/(19)=(sin(74))/(19) is b=1.29154…+360n,b=180-1.29154…+360n