Determine the sine of the product of-2/9x1/7
To find the sine of the product of -2/9 and 1/7, we first find the product of these two fractions:
(-2/9) * (1/7) = -2/63
Next, we need to clarify what we mean by the sine of a number. The sine of an angle is a trigonometric function and is defined as the opposite side divided by the hypotenuse in a right-angled triangle.
However, since we are dealing with a fraction (-2/63) and not an angle, the concept of the sine is not applicable in this context. Therefore, we cannot determine the sine of the product -2/63.
To determine the sine of the product -2/9 multiplied by 1/7, we can use the following steps:
Step 1: Find the product of -2/9 and 1/7.
-2/9 × 1/7 = -2/63
Step 2: Determine the sine of -2/63.
The sine function relates the ratio of the length of the side opposite a given angle to the length of the hypotenuse in a right triangle. However, since we have a fraction (-2/63) and not an angle, we need to convert it to an angle first.
Step 3: Convert -2/63 to an angle.
To convert -2/63 to an angle in radians, we can use the inverse sine (arcsin) function.
arcsin(-2/63) ≈ -0.031 radians
Step 4: Determine the sine of the angle.
sin(-0.031) ≈ -0.031
Therefore, the sine of the product -2/9 multiplied by 1/7 is approximately -0.031.
To determine the sine of the product of -2/9 and 1/7, you'll need to perform a few calculations.
First, find the product of -2/9 and 1/7:
(-2/9) * (1/7) = -2/63
Now, to find the sine of -2/63, you should divide the numerator by the denominator and take the sine of the resulting quotient.
So, divide -2 by 63:
-2 ÷ 63 ≈ -0.031746
Finally, take the sine of -0.031746 using a calculator or trigonometric table. Remember to ensure that your calculator is set to the correct angle unit (degrees or radians) for the desired result.
In this case, the sine of -0.031746 is approximately -0.031739.