9514 1404 393
Answer:
sin -12/13
Step-by-step explanation:
You can use the identity ...
tan = sin/cos
to solve for sine:
sin = cos·tan
sin = (-5/13)(12/5) =
sin -12/13
The pattern on the table is x increases:
- The sine of x increases
- The cosine of x increases
- The function sin²(x) + cos²(x) remains constant
<h3>How to describe the pattern?</h3>
The functions on the table of values are:
sin(x), cos(x) and sin²(x) + cos²(x)
To describe the pattern, we simply observe how the values of the function change, as x increases.
As x increases, on the table:
- The sine of x increases
- The cosine of x increases
- The function sin²(x) + cos²(x) remains constant
Read more about trigonometry functions at:
brainly.com/question/9565966
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This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
