What is the general solution for solvefor c,2=4sin(0.5(0-c))+2 ?

The general solution for solvefor c,2=4sin(0.5(0-c))+2 is c=-4pin,c=-2pi-4pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor c,2=4sin(0.5(0-c))+2

Solution

solve for

c, 2 = 4 sin (0.5 (0 - c)) + 2

Solution

c = - 4 πn, c = - 2 π - 4 πn

Degrees

c = 0^{\circ} - 72 0^{\circ} n, c = - 36 0^{\circ} - 72 0^{\circ} n

Solution steps

2 = 4 sin (0.5 (0 - c)) + 2

Switch sides

4 sin (0.5 (0 - c)) + 2 = 2

Subtract

2

from both sides

4 sin (0.5 (0 - c)) + 2 - 2 = 2 - 2

Simplify

4 sin (0.5 (0 - c)) = 0

Divide both sides by

4

4 sin (0.5 (0 - c)) = 0

Divide both sides by

4

\frac{4 sin ( 0.5 ( 0 - c ) )}{4} = \frac{0}{4}

Simplify

sin (0.5 (0 - c)) = 0

sin (0.5 (0 - c)) = 0

General solutions for

sin (0.5 (0 - c)) = 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}

0.5 (0 - c) = 0 + 2 πn, 0.5 (0 - c) = π + 2 πn

0.5 (0 - c) = 0 + 2 πn, 0.5 (0 - c) = π + 2 πn

Solve

0.5 (0 - c) = 0 + 2 πn : c = - 4 πn

0.5 (0 - c) = 0 + 2 πn

0 + 2 πn = 2 πn

0.5 (0 - c) = 2 πn

Multiply both sides by

10

0.5 (0 - c) = 2 πn

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 (0 - c) \cdot 10 = 2 πn \cdot 10

Refine

- 5 c = 20 πn

- 5 c = 20 πn

Divide both sides by

- 5

- 5 c = 20 πn

Divide both sides by

- 5

\frac{- 5 c}{- 5} = \frac{20 πn}{- 5}

Simplify

\frac{- 5 c}{- 5} = \frac{20 πn}{- 5}

Simplify

\frac{- 5 c}{- 5} : c

\frac{- 5 c}{- 5}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{5 c}{5}

Divide the numbers:

\frac{5}{5} = 1

= c

Simplify

\frac{20 πn}{- 5} : - 4 πn

\frac{20 πn}{- 5}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{20 πn}{5}

Divide the numbers:

\frac{20}{5} = 4

= - 4 πn

c = - 4 πn

c = - 4 πn

c = - 4 πn

Solve

0.5 (0 - c) = π + 2 πn : c = - 2 π - 4 πn

0.5 (0 - c) = π + 2 πn

Multiply both sides by

10

0.5 (0 - c) = π + 2 πn

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 (0 - c) \cdot 10 = π 10 + 2 πn \cdot 10

Refine

- 5 c = 10 π + 20 πn

- 5 c = 10 π + 20 πn

Divide both sides by

- 5

- 5 c = 10 π + 20 πn

Divide both sides by

- 5

\frac{- 5 c}{- 5} = \frac{10 π}{- 5} + \frac{20 πn}{- 5}

Simplify

\frac{- 5 c}{- 5} = \frac{10 π}{- 5} + \frac{20 πn}{- 5}

Simplify

\frac{- 5 c}{- 5} : c

\frac{- 5 c}{- 5}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{5 c}{5}

Divide the numbers:

\frac{5}{5} = 1

= c

Simplify

\frac{10 π}{- 5} + \frac{20 πn}{- 5} : - 2 π - 4 πn

\frac{10 π}{- 5} + \frac{20 πn}{- 5}

\frac{10 π}{- 5} = - 2 π

\frac{10 π}{- 5}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{10 π}{5}

Divide the numbers:

\frac{10}{5} = 2

= - 2 π

= - 2 π + \frac{20 πn}{- 5}

\frac{20 πn}{- 5} = - 4 πn

\frac{20 πn}{- 5}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{20 πn}{5}

Divide the numbers:

\frac{20}{5} = 4

= - 4 πn

= - 2 π - 4 πn

c = - 2 π - 4 πn

c = - 2 π - 4 πn

c = - 2 π - 4 πn

c = - 4 πn, c = - 2 π - 4 πn

Popular Examples

3cos^2(x)-2sqrt(3)cos(x)=cos(x)

3 cos^{2} (x) - 23 cos (x) = cos (x)

196sin(θ)-49cos(θ)=160

196 sin (θ) - 49 cos (θ) = 160

4tan(x)+3=-7

4 tan (x) + 3 = - 7

8tan(θ)+15=0

8 tan (θ) + 15 = 0

cos(x)=(48.4)/(54.5)

cos (x) = \frac{48.4}{54.5}

Frequently Asked Questions (FAQ)

What is the general solution for solvefor c,2=4sin(0.5(0-c))+2 ?
The general solution for solvefor c,2=4sin(0.5(0-c))+2 is c=-4pin,c=-2pi-4pin