What is the general solution for -0.5sin(t)=0,0<,=t<= 4pi ?

Q: What is the general solution for -0.5sin(t)=0,0<,=t<= 4pi ?

The general solution for -0.5sin(t)=0,0<,=t<= 4pi is No Solution for t\in\mathbb{R}

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Popular >

-0.5sin(t)=0,0<,=t<= 4pi

Solution

- 0.5 sin (t) = 0, 0 <, = t \leq 4 π

Solution

No Solution for t \in R

Solution steps

- 0.5 sin (t) = 0, 0, = t \leq 4 π

Multiply both sides by

10

- 0.5 sin (t) = 0

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

- 0.5 sin (t) \cdot 10 = 0 \cdot 10

Refine

- 5 sin (t) = 0

- 5 sin (t) = 0

Divide both sides by

- 5

- 5 sin (t) = 0

Divide both sides by

- 5

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

Simplify

sin (t) = 0

sin (t) = 0

General solutions for

sin (t) = 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}

t = 0 + 2 πn, t = π + 2 πn

t = 0 + 2 πn, t = π + 2 πn

Solve

t = 0 + 2 πn : t = 2 πn

t = 0 + 2 πn

0 + 2 πn = 2 πn

t = 2 πn

t = 2 πn, t = π + 2 πn

Solutions for the range

0

No Solution for t \in R

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cos^2(x)+5cos(x)-3=0

cos^{2} (x) + 5 cos (x) - 3 = 0

Frequently Asked Questions (FAQ)

What is the general solution for -0.5sin(t)=0,0<,=t<= 4pi ?
The general solution for -0.5sin(t)=0,0<,=t<= 4pi is No Solution for t\in\mathbb{R}