What is the general solution for (sin(90))/(458.912)=(sin(x))/(450) ?

The general solution for (sin(90))/(458.912)=(sin(x))/(450) is x=1.37339…+360n,x=180-1.37339…+360n

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(sin(90))/(458.912)=(sin(x))/(450)

\frac{sin ( 9 0 ^{\circ} )}{458.912} = \frac{sin ( x )}{450}

x = 1.37339 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.37339 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( 9 0 ^{\circ} )}{458.912} = \frac{sin ( x )}{450}

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

\frac{1}{458.912} = \frac{sin ( x )}{450}

Switch sides

\frac{sin ( x )}{450} = \frac{1}{458.912}

Multiply both sides by

10

\frac{sin ( x )}{45} = \frac{10}{458.912}

Multiply both sides by

45

sin (x) = 0.98058 \dots

Apply trig inverse properties

x = arcsin (0.98058 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.98058 \dots) + 36 0^{\circ} n

Show solutions in decimal form

x = 1.37339 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.37339 \dots + 36 0^{\circ} n

0 = \frac{2 π ^{2} cos ( \frac{π x}{10} )}{25}

300 cos (7 0^{\circ}) = 375 cos (θ)

812.25 = 399.6001 + 400 - 1140 cos (a)

- 0.6 = sin (2 x)

x, (sin (π x) + cos (π y))^{5} = 36

What is the general solution for (sin(90))/(458.912)=(sin(x))/(450) ?
The general solution for (sin(90))/(458.912)=(sin(x))/(450) is x=1.37339…+360n,x=180-1.37339…+360n