What is the general solution for 0=-7.5sin(pi/(10)(t-5))+8 ?

The general solution for 0=-7.5sin(pi/(10)(t-5))+8 is No Solution for t\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0=-7.5sin(pi/(10)(t-5))+8

Solution

0 = - 7.5 sin (\frac{π}{10} (t - 5)) + 8

Solution

No Solution for t \in R

Solution steps

0 = - 7.5 sin (\frac{π}{10} (t - 5)) + 8

Switch sides

- 7.5 sin (\frac{π}{10} (t - 5)) + 8 = 0

Multiply both sides by

10

- 7.5 sin (\frac{π}{10} (t - 5)) + 8 = 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

- 7.5 sin (\frac{π}{10} (t - 5)) \cdot 10 + 8 \cdot 10 = 0 \cdot 10

Refine

- 75 sin (\frac{π}{10} (t - 5)) + 80 = 0

- 75 sin (\frac{π}{10} (t - 5)) + 80 = 0

Move

80

to the right side

- 75 sin (\frac{π}{10} (t - 5)) + 80 = 0

Subtract

80

from both sides

- 75 sin (\frac{π}{10} (t - 5)) + 80 - 80 = 0 - 80

Simplify

- 75 sin (\frac{π}{10} (t - 5)) = - 80

- 75 sin (\frac{π}{10} (t - 5)) = - 80

Divide both sides by

- 75

- 75 sin (\frac{π}{10} (t - 5)) = - 80

Divide both sides by

- 75

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75} = \frac{- 80}{- 75}

Simplify

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75} = \frac{- 80}{- 75}

Simplify

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75} : sin (\frac{π}{10} (t - 5))

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75}

Apply the fraction rule:

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

= \frac{75 sin ( \frac{π}{10} ( t - 5 ) )}{75}

Divide the numbers:

\frac{75}{75} = 1

= sin (\frac{π}{10} (t - 5))

Simplify

\frac{- 80}{- 75} : \frac{16}{15}

\frac{- 80}{- 75}

Apply the fraction rule:

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

= \frac{80}{75}

Cancel the common factor:

5

= \frac{16}{15}

sin (\frac{π}{10} (t - 5)) = \frac{16}{15}

sin (\frac{π}{10} (t - 5)) = \frac{16}{15}

sin (\frac{π}{10} (t - 5)) = \frac{16}{15}

- 1 \leq sin (x) \leq 1

No Solution for t \in R

Popular Examples

cot(11x+1)=tan(6x+4)

cot (11 x + 1) = tan (6 x + 4)

2sin(2x)=cos(2x+30)

2 sin (2 x) = cos (2 x + 3 0^{\circ})

tan(θ)= 15/25

tan (θ) = \frac{15}{25}

tan(φ)=3

tan (φ) = 3

tan(φ)=1

tan (φ) = 1

Frequently Asked Questions (FAQ)

What is the general solution for 0=-7.5sin(pi/(10)(t-5))+8 ?
The general solution for 0=-7.5sin(pi/(10)(t-5))+8 is No Solution for t\in\mathbb{R}