Answer: = 1
Step-by-step explanation:
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:
40% increase
Step-by-step explanation:
First, find the difference:
161-115=46
Then divide by the past price to get the percent increase:
46/115=.4=40%
Answer:
or 0.5 or 50%
Step-by-step explanation:
P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)
= 
+ + = 
=
Alternatively
P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]
= 1 - [ + +] = 1 - =
