Complete the statement.
For any triangle, the ratios of the of the angles to the lengths of their sides are equivalent.

For any triangle, the ratios of the sine of the angles to the lengths of their opposite sides are equivalent.

For any right triangle,

For any triangle, the ratios of the sine of the angles to the lengths of their opposite sides are equivalent.

The diagram of right triangle attached below.

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sine , opposite

Step-by-step explanation:

For any triangle, the ratios of the sine of the angles to the lengths of their opposite  sides are equivalent.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.