What is the general solution for 1(sin(x)-0.3pi)+2=0 ?

The general solution for 1(sin(x)-0.3pi)+2=0 is No Solution for x\in\mathbb{R}

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Popular Trigonometry >

1(sin(x)-0.3pi)+2=0

Solution

1 (sin (x) - 0.3 π) + 2 = 0

Solution

No Solution for x \in R

Solution steps

1 \cdot (sin (x) - 0.3 π) + 2 = 0

1 \cdot (sin (x) - 0.3 π) = sin (x) - 0.3 π

1 \cdot (sin (x) - 0.3 π)

Multiply:

1 \cdot (sin (x) - 0.3 π) = (sin (x) - 0.3 π)

= sin (x) - 0.3 π

Remove parentheses:

(a) = a

= sin (x) - 0.3 π

sin (x) - 0.3 π + 2 = 0

Multiply both sides by

10

sin (x) - 0.3 π + 2 = 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

sin (x) \cdot 10 - 0.3 π 10 + 2 \cdot 10 = 0 \cdot 10

Refine

10 sin (x) - 3 π + 20 = 0

10 sin (x) - 3 π + 20 = 0

Move

3 π

to the right side

10 sin (x) - 3 π + 20 = 0

Add

3 π

to both sides

10 sin (x) - 3 π + 20 + 3 π = 0 + 3 π

Simplify

10 sin (x) + 20 = 3 π

10 sin (x) + 20 = 3 π

Move

20

to the right side

10 sin (x) + 20 = 3 π

Subtract

20

from both sides

10 sin (x) + 20 - 20 = 3 π - 20

Simplify

10 sin (x) = 3 π - 20

10 sin (x) = 3 π - 20

Divide both sides by

10

10 sin (x) = 3 π - 20

Divide both sides by

10

\frac{10 sin ( x )}{10} = \frac{3 π}{10} - \frac{20}{10}

Simplify

\frac{10 sin ( x )}{10} = \frac{3 π}{10} - \frac{20}{10}

Simplify

\frac{10 sin ( x )}{10} : sin (x)

\frac{10 sin ( x )}{10}

Divide the numbers:

\frac{10}{10} = 1

= sin (x)

Simplify

\frac{3 π}{10} - \frac{20}{10} : \frac{3 π - 20}{10}

\frac{3 π}{10} - \frac{20}{10}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 π - 20}{10}

sin (x) = \frac{3 π - 20}{10}

sin (x) = \frac{3 π - 20}{10}

sin (x) = \frac{3 π - 20}{10}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

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Frequently Asked Questions (FAQ)

What is the general solution for 1(sin(x)-0.3pi)+2=0 ?
The general solution for 1(sin(x)-0.3pi)+2=0 is No Solution for x\in\mathbb{R}