What is the general solution for sin(x)(5sin(x)+5)=0 ?

The general solution for sin(x)(5sin(x)+5)=0 is x=2pin,x=pi+2pin,x=(3pi)/2+2pin

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sin(x)(5sin(x)+5)=0

sin (x) (5 sin (x) + 5) = 0

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

Solution steps

sin (x) (5 sin (x) + 5) = 0

Solving each part separately

sin (x) = 0 or 5 sin (x) + 5 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

5 sin (x) + 5 = 0 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

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

csc (θ) = \frac{- 3}{5}

sec^{2} (x) + tan^{2} (x) = 5 tan (x)

sin (x) = \frac{9}{12}

- 2 cos (x) + 3 sin (x) = 2

cos (x + \frac{π}{6}) - 1 = cos (x - \frac{π}{6})

What is the general solution for sin(x)(5sin(x)+5)=0 ?
The general solution for sin(x)(5sin(x)+5)=0 is x=2pin,x=pi+2pin,x=(3pi)/2+2pin