What is the general solution for (sin(a))/(50)=(sin(25))/(35) ?

The general solution for (sin(a))/(50)=(sin(25))/(35) is a=0.64818…+360n,a=180-0.64818…+360n

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(sin(a))/(50)=(sin(25))/(35)

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

a = 0.64818 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.64818 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

Multiply both sides by

10

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

Multiply both sides by

5

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

Apply trig inverse properties

a = arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n

Show solutions in decimal form

a = 0.64818 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.64818 \dots + 36 0^{\circ} n

sin (x + \frac{π}{4}) = \pm 1

sin (2 x + 64) = \frac{3}{2}

sin (θ) = 0, 6

sin (x) = sin (\frac{π}{2})

\frac{sin ( x )}{1 - cos ^{2} ( x )} = sec (x)

What is the general solution for (sin(a))/(50)=(sin(25))/(35) ?
The general solution for (sin(a))/(50)=(sin(25))/(35) is a=0.64818…+360n,a=180-0.64818…+360n