What is the general solution for 1sin(30)=1.495sin(x) ?

The general solution for 1sin(30)=1.495sin(x) is x=0.34101…+360n,x=180-0.34101…+360n

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1sin(30)=1.495sin(x)

1 sin (3 0^{\circ}) = 1.495 sin (x)

x = 0.34101 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.34101 \dots + 36 0^{\circ} n

Solution steps

1 \cdot sin (3 0^{\circ}) = 1.495 sin (x)

sin (3 0^{\circ}) = \frac{1}{2}

1 \cdot \frac{1}{2} = 1.495 sin (x)

Switch sides

1.495 sin (x) = 1 \cdot \frac{1}{2}

Multiply both sides by

1000

1495 sin (x) = 500

Divide both sides by

1495

sin (x) = \frac{100}{299}

Apply trig inverse properties

x = arcsin (\frac{100}{299}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{100}{299}) + 36 0^{\circ} n

Show solutions in decimal form

x = 0.34101 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.34101 \dots + 36 0^{\circ} n

e^{2 c o s (x) - 1} = 1

csc (θ) = - \frac{37}{12}, \frac{3 π}{2} \leq θ \leq 2 π

\frac{3}{2} = 2 \cdot 25 sin (\frac{θ}{2})

sin^{2} (x) - sin (x) - 12 = 0

7 sin (2 ϕ) + 12 cos (ϕ) = 0

What is the general solution for 1sin(30)=1.495sin(x) ?
The general solution for 1sin(30)=1.495sin(x) is x=0.34101…+360n,x=180-0.34101…+360n