What is the general solution for (sin(90)}{5.8}=\frac{sin(x))/5 ?

The general solution for (sin(90)}{5.8}=\frac{sin(x))/5 is x=1.03933…+360n,x=180-1.03933…+360n

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(sin(90)}{5.8}=\frac{sin(x))/5

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

x = 1.03933 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03933 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

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

\frac{1}{5.8} = \frac{sin ( x )}{5}

Switch sides

\frac{sin ( x )}{5} = \frac{1}{5.8}

Multiply both sides by

5

sin (x) = 0.86206 \dots

Apply trig inverse properties

x = arcsin (0.86206 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.86206 \dots) + 36 0^{\circ} n

Show solutions in decimal form

x = 1.03933 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03933 \dots + 36 0^{\circ} n

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

4 = 5 + 3 sin (2 t - \frac{π}{5})

sin^{2} (2 x) + 2 \cdot cos^{2} (x) - 2 = 0

tan (θ) = - 0.5586, 0 \leq θ < 2 π

6 cos^{2} (x) - sin (x) - 5 = 0, 0 \leq x \leq 2 π

What is the general solution for (sin(90)}{5.8}=\frac{sin(x))/5 ?
The general solution for (sin(90)}{5.8}=\frac{sin(x))/5 is x=1.03933…+360n,x=180-1.03933…+360n