Determine the sine of the product of 17/32 x (-1/10)

To find the sine of the product, we need to find the sine of the result of multiplying 17/32 with -1/10.

The product of 17/32 x (-1/10) is -17/320.

The sine of an angle can be expressed as the ratio of the opposite side to the hypotenuse in a right triangle. However, in this case, we are dealing with a real number, not an angle.

Therefore, we need to further clarify what is meant by "the sine of -17/320."

To determine the sine of the product of 17/32 and -1/10, follow these steps:

Step 1: Calculate the product of 17/32 and -1/10:
(17/32) x (-1/10)
= (-17/32) x (1/10)
= -17/320

Step 2: Calculate the sine of -17/320:
sin(-17/320)

Since -17/320 is a fraction, convert it to a decimal value:
-17/320 ≈ -0.05313

Step 3: Calculate the sine of -0.05313:
sin(-0.05313) ≈ -0.053

Therefore, the sine of the product of 17/32 and -1/10 is approximately -0.053.