Determine the sine of the product of -16.8x3/7

Let's first simplify the expression:

-16.8 * 3/7 = -50.4/7 ≈ -7.2

The sine of -7.2 cannot be determined since the input is not an angle. The sine function is typically used for calculating the ratio of the length of the side opposite to an angle in a right triangle to the length of the hypotenuse, but -7.2 is not an angle.

To determine the sine of the product of -16.8 x 3/7, we need to find the product first and then calculate its sine.

Step 1: Calculate the product of -16.8 x 3/7.
-16.8 x 3/7 = -50.4/7 = -7.2

Step 2: Calculate the sine of -7.2.
The sine function returns a value between -1 and 1 for any angle in radians. Since -7.2 is just a number and not an angle, we will assume that -7.2 is an angle in radians.

sin(-7.2) ≈ -0.972

Therefore, the sine of the product -16.8 x 3/7 is approximately -0.972.

To determine the sine of the product of -16.8x3/7, we first need to calculate the product of -16.8 and 3/7. Here's the step-by-step process:

1. Multiply -16.8 by 3: -16.8 x 3 = -50.4

2. Divide the result by 7: -50.4 / 7 = -7.2

Now that we have the product, -7.2, we can find the sine of this value. The sine function relates an angle measurement to the ratio of the length of the side opposite the angle to the hypotenuse in a right triangle.

Since -7.2 is not an angle, we need to convert it into an angle measurement. To do this, we can use the inverse sine function (sin⁻¹) to find the angle whose sine is -7.2. However, it's important to note that the inverse sine function is only defined for values between -1 and 1.

As -7.2 is outside the range, we can say that the sine of -7.2 is undefined.