What is the general solution for (sin(90))/5 =(sin(x))/4 ?

The general solution for (sin(90))/5 =(sin(x))/4 is x=0.92729…+360n,x=180-0.92729…+360n

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(sin(90))/5 =(sin(x))/4

\frac{sin ( 9 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}

x = 0.92729 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.92729 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( 9 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}

sin (9 0^{\circ}) = 1

\frac{1}{5} = \frac{sin ( x )}{4}

Switch sides

\frac{sin ( x )}{4} = \frac{1}{5}

Multiply both sides by

4

sin (x) = \frac{4}{5}

Apply trig inverse properties

x = arcsin (\frac{4}{5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4}{5}) + 36 0^{\circ} n

Show solutions in decimal form

x = 0.92729 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.92729 \dots + 36 0^{\circ} n

2 sin^{2} (x) = - 5 sin (x) - 3

sin (7 x) = 0, 0 \leq x \leq 2 π

13 cos (C) - 1 = 4 cos (C) - 8

sin (x) = - 0.2672

sin (x) = \frac{3}{10}

What is the general solution for (sin(90))/5 =(sin(x))/4 ?
The general solution for (sin(90))/5 =(sin(x))/4 is x=0.92729…+360n,x=180-0.92729…+360n