determine the sine of the product of -16.8×3/7.
To find the sine of a number, we need to know the angle in radians or degrees. Since we are given the product of two numbers (-16.8 × 3/7), it is not possible to determine an angle from this information.
If you provide an angle, we can calculate the sine of that angle.
the quotient of 4/6 and 1/2
To find the quotient of 4/6 and 1/2, we divide the numerator of the first fraction by the numerator of the second fraction, and divide the denominator of the first fraction by the denominator of the second fraction:
(4/6) ÷ (1/2)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(4/6) × (2/1)
Multiplying the numerators and denominators:
(4 × 2) / (6 × 1)
Simplifying the fraction:
8/6
The quotient of 4/6 and 1/2 is 8/6, which can be further simplified to 4/3.
determine the sine of the product of -16.8×3/7.
a. positive
b. both positive and negative
c. negative
d. the product has no sign
To determine the sine of a product, we need to know the angle in radians or degrees. Since we are given a product of two numbers (-16.8 × 3/7), it is not possible to determine an angle from this information.
The sine function is defined for angles, not for numbers. Therefore, we cannot determine the sine of the product -16.8 × 3/7.
To determine the sine of the product of -16.8×3/7, we first need to find the product and then calculate its sine.
Step 1: Find the product
-16.8 × 3/7 = -5.6
Step 2: Calculate the sine
To find the sine of -5.6, we use the sine function. The sine is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. However, since we only have the number -5.6, we need to use a calculator or a mathematical software to find the sine value.
Using a calculator or mathematical software, we find that the sine of -5.6 is approximately -0.7055.
Therefore, the sine of the product of -16.8 × 3/7 is approximately -0.7055.
To determine the sine of the product of -16.8 × (3/7), we need to follow a series of steps:
Step 1: Find the product of -16.8 and (3/7)
- Multiply -16.8 by 3: -16.8 × 3 = -50.4
- Divide the result by 7: -50.4 ÷ 7 = -7.2
Step 2: Determine the sine of the result from Step 1
- Since the result is a negative value (-7.2), we need to determine the sine value of its absolute value (∣-7.2∣).
- Using a calculator or reference table, find the sine value of ∣-7.2∣, which is approximately 0.9996.
Step 3: Apply the negative sign to the sine value
- Since the result from Step 1 is negative, the sine value obtained in Step 2 should also have a negative sign.
- Therefore, the sine of the product of -16.8 × (3/7) is approximately -0.9996.
It's worth noting that calculators can directly provide the sine value of an angle or number, which can simplify the process.