What is the general solution for 5sin(y)=3sin(y)+sqrt(3) ?

The general solution for 5sin(y)=3sin(y)+sqrt(3) is y= pi/3+2pin,y=(2pi)/3+2pin

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5sin(y)=3sin(y)+sqrt(3)

5 sin (y) = 3 sin (y) + 3

y = \frac{π}{3} + 2 πn, y = \frac{2 π}{3} + 2 πn

Solution steps

5 sin (y) = 3 sin (y) + 3

Solve by substitution

sin (y) = \frac{3}{2}

sin (y) = \frac{3}{2} : y = \frac{π}{3} + 2 πn, y = \frac{2 π}{3} + 2 πn

Combine all the solutions

y = \frac{π}{3} + 2 πn, y = \frac{2 π}{3} + 2 πn

2 sin^{2} (θ) + sin^{2} (θ) = 0

cos (θ) = - 0.42, 0^{\circ} \leq θ < 36 0^{\circ}

sin (2 x) = \frac{1}{2}, 0 < x < 2 π

4 sin^{2} (θ) + 2 cos (θ) = 3

\frac{1715}{70} = tan (4 5^{\circ} + \frac{θ}{2})

What is the general solution for 5sin(y)=3sin(y)+sqrt(3) ?
The general solution for 5sin(y)=3sin(y)+sqrt(3) is y= pi/3+2pin,y=(2pi)/3+2pin