Question

Give the exact form and decimal form of the equation

Answer 1

Answer:

Exact form: $\sin{(6x)} = \frac{8}{9}$

Decimal form: $\sin{(6x)} = 0.8889$

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

$8 = 9\sin{(6x)}$

Placing into the desired format, the exact format is:

$\sin{(6x)} = \frac{8}{9}$

In the decimal part, we divide 8 by 9. So

$\sin{(6x)} = 0.8889$

Solving for x:

We apply the inverse sine. So

$\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}$

$6x = 62.73$

$x = \frac{62.73}{6}$

$x = 10.455$

The solution for x is of 10.455º