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

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

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-5sin(x)=0

- 5 sin (x) = 0

x = 2 πn, x = π + 2 πn

Degrees

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

Solution steps

- 5 sin (x) = 0

Divide both sides by

- 5

- 5 sin (x) = 0

Divide both sides by

- 5

\frac{- 5 sin ( x )}{- 5} = \frac{0}{- 5}

Simplify

sin (x) = 0

sin (x) = 0

General solutions for

sin (x) = 0

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

x = 0 + 2 πn, x = π + 2 πn

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn, x = π + 2 πn

sin^{2} (θ) = 6 (cos (- θ) + 1)

5 sin (θ) - 2 = 0

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

- 4 cos (5 x) + 1 = 1

- 5 sin (x) = - 2 cos^{2} (x) + 4

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