What is the general solution for 5(sin(x)+1)=5 ?

The general solution for 5(sin(x)+1)=5 is x=2pin,x=pi+2pin

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5(sin(x)+1)=5

5 (sin (x) + 1) = 5

x = 2 πn, x = π + 2 πn

Solution steps

5 (sin (x) + 1) = 5

Divide both sides by

5

sin (x) + 1 = 1

Move

1

to the right side

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

2 sin^{2} (t) - 3 cos (t) = 3

cos (x) = \frac{3}{2}, 0 \leq x \leq 2 π

csc^{2} (x) + 4 csc (x) + 4 = 0

6 sin^{2} (x) - cos (x) - 4 = 0

2 sin (2 x) cos (x) + sin (x) = 0

What is the general solution for 5(sin(x)+1)=5 ?
The general solution for 5(sin(x)+1)=5 is x=2pin,x=pi+2pin