What is the general solution for (sin(90))/(3.37)=(sin(x))/(0.7) ?

The general solution for (sin(90))/(3.37)=(sin(x))/(0.7) is x=0.20923…+360n,x=180-0.20923…+360n

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(sin(90))/(3.37)=(sin(x))/(0.7)

\frac{sin ( 9 0 ^{\circ} )}{3.37} = \frac{sin ( x )}{0.7}

x = 0.20923 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.20923 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( 9 0 ^{\circ} )}{3.37} = \frac{sin ( x )}{0.7}

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

\frac{1}{3.37} = \frac{sin ( x )}{0.7}

Switch sides

\frac{sin ( x )}{0.7} = \frac{1}{3.37}

Multiply both sides by

0.7

sin (x) = 0.20771 \dots

Apply trig inverse properties

x = arcsin (0.20771 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.20771 \dots) + 36 0^{\circ} n

Show solutions in decimal form

x = 0.20923 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.20923 \dots + 36 0^{\circ} n

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

7 cos (4 x) = 6

sin (x) tan (x) + 3 tan (x) = 0

sin^{2} (\frac{x}{2}) = 0

tan (t) = 2

What is the general solution for (sin(90))/(3.37)=(sin(x))/(0.7) ?
The general solution for (sin(90))/(3.37)=(sin(x))/(0.7) is x=0.20923…+360n,x=180-0.20923…+360n