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)
Answer:
10:12:15
Step-by-step explanation:
a/b=5/6
b/c=4/5
thus
c/b=5/4
LCM of 4 and 6=12
5/6=10/12
5/4=15/12
b is the 12 in both
thus ratio between a:b:c is 10:12:15
i can reply in comments if more explanation is needed
Answer:
3
Step-by-step explanation:
1,2,2,2,3,3,3,3,4,4,4,4,5 are all the test scores. if you add them all up, its 40, and there are 13 numbers in the data set, so you divide 40 by 13, and you get 3.07692 overscore, or 3 and 10/13
Answer: C
Step-by-step the table that's flipped the y and x values of the given table
