What is the general solution for 0.17cos(a)(0.3)+0.33=0.16 ?

The general solution for 0.17cos(a)(0.3)+0.33=0.16 is No Solution for a\in\mathbb{R}

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0.17cos(a)(0.3)+0.33=0.16

0.17 cos (a) (0.3) + 0.33 = 0.16

No Solution for a \in R

Solution steps

0.17 cos (a) (0.3) + 0.33 = 0.16

Multiply the numbers:

0.17 \cdot 0.3 = 0.051

0.051 cos (a) + 0.33 = 0.16

Multiply both sides by

1000

0.051 cos (a) + 0.33 = 0.16

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

3

digits to the right of the decimal point, therefore multiply by

1000

0.051 cos (a) \cdot 1000 + 0.33 \cdot 1000 = 0.16 \cdot 1000

Refine

51 cos (a) + 330 = 160

51 cos (a) + 330 = 160

Move

330

to the right side

51 cos (a) + 330 = 160

Subtract

330

from both sides

51 cos (a) + 330 - 330 = 160 - 330

Simplify

51 cos (a) = - 170

51 cos (a) = - 170

Divide both sides by

51

51 cos (a) = - 170

Divide both sides by

51

\frac{51 cos ( a )}{51} = \frac{- 170}{51}

Simplify

\frac{51 cos ( a )}{51} = \frac{- 170}{51}

Simplify

\frac{51 cos ( a )}{51} : cos (a)

\frac{51 cos ( a )}{51}

Divide the numbers:

\frac{51}{51} = 1

= cos (a)

Simplify

\frac{- 170}{51} : - \frac{10}{3}

\frac{- 170}{51}

Apply the fraction rule:

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

= - \frac{170}{51}

Cancel the common factor:

17

= - \frac{10}{3}

cos (a) = - \frac{10}{3}

cos (a) = - \frac{10}{3}

cos (a) = - \frac{10}{3}

- 1 \leq cos (x) \leq 1

No Solution for a \in R

0 = cos (2 x) + cos (x)

x, y = cos (4 x)

tan^{4} (x) - 2 tan^{2} (x) - 1 = 0

- 0.002 = sin (2 π \cdot (3) - 500 π (0) + x)

3 tan (2 x - \frac{π}{2}) = 2 sin (\frac{π}{3})

What is the general solution for 0.17cos(a)(0.3)+0.33=0.16 ?
The general solution for 0.17cos(a)(0.3)+0.33=0.16 is No Solution for a\in\mathbb{R}