1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
The ordered pair (1, 40) represents the unit rate of the relationship.
The ordered pair (3, 120) means that Tien can type 120 words in 3 minutes.
Answer:
$19.5
Step-by-step explanation:
Total money with Emily in beginning = 4.5 + 15 = $ 19.5
Calculate the mean, median, and mode for the set 7, 9, 8, 8, 10, 9, 8, 7, 8, 6, 9, 5, 6, 8, 9, 7, 7, 8, 10, 8 please answer asap
tatiyna
Step-by-step explanation:
Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8
Answer:
35 hours and 45 minutes
Step-by-step explanation:
