What is the general solution for 1.33*sin(60)=1.52*sin(x) ?

The general solution for 1.33*sin(60)=1.52*sin(x) is x=0.85989…+360n,x=180-0.85989…+360n

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1.33sin(60)=1.52sin(x)

1.33 \cdot sin (6 0^{\circ}) = 1.52 \cdot sin (x)

x = 0.85989 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.85989 \dots + 36 0^{\circ} n

Solution steps

1.33 sin (6 0^{\circ}) = 1.52 sin (x)

sin (6 0^{\circ}) = \frac{3}{2}

1.33 \cdot \frac{3}{2} = 1.52 sin (x)

Switch sides

1.52 sin (x) = 1.33 \cdot \frac{3}{2}

Divide both sides by

1.52

sin (x) = 0.75777 \dots

Apply trig inverse properties

x = arcsin (0.75777 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.75777 \dots) + 36 0^{\circ} n

Show solutions in decimal form

x = 0.85989 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.85989 \dots + 36 0^{\circ} n

tan (x) = - 3 cos (x) tan (x)

tan (x - \frac{π}{4}) = \frac{1}{6}

csc (2 χ) = \frac{1}{1 - cos ( 2 χ )}

cos (2 x) - 2 sin (x) = 1

3 cos (x) - sin (x) = - 1

What is the general solution for 1.33*sin(60)=1.52*sin(x) ?
The general solution for 1.33*sin(60)=1.52*sin(x) is x=0.85989…+360n,x=180-0.85989…+360n