What is the general solution for 5sin(y)-5=3sin(y)-4 ?

The general solution for 5sin(y)-5=3sin(y)-4 is y= pi/6+2pin,y=(5pi)/6+2pin

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5sin(y)-5=3sin(y)-4

5 sin (y) - 5 = 3 sin (y) - 4

y = \frac{π}{6} + 2 πn, y = \frac{5 π}{6} + 2 πn

Solution steps

5 sin (y) - 5 = 3 sin (y) - 4

Solve by substitution

sin (y) = \frac{1}{2}

sin (y) = \frac{1}{2} : y = \frac{π}{6} + 2 πn, y = \frac{5 π}{6} + 2 πn

Combine all the solutions

y = \frac{π}{6} + 2 πn, y = \frac{5 π}{6} + 2 πn

2 cos^{2} (x) + 3 cos (x) - 3 = 0

3 sin (x) - 5 cos (x) = 0

sin^{2} (x) = 0.85

cos (x - 6 0^{\circ}) = \frac{3}{2}

(0.5 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

What is the general solution for 5sin(y)-5=3sin(y)-4 ?
The general solution for 5sin(y)-5=3sin(y)-4 is y= pi/6+2pin,y=(5pi)/6+2pin