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: The answer is 96 wizards.
Step-by-step explanation:
So what I like to do is fraction formatting.
you start with x/blank and you do cross multiply divide
and multiple 120 by 80(=9600) and divide by 100 (=96) because wizards are 20% less of the population than goblins, so they are equivalent to 80% of the goblins! Hope this helped!
Answer:
percentage change=25% .
Step-by-step explanation:
Given : $15.60 to $11.70 .
To find: What is the percent change .
Solution: We have given that $15.60 to $11.70 .
Change = final value - initial value .
Change = $15.60 - $11.70
=$3.9
percentage change =
=
= .
On dividing both number by 3
percentage change=.
percentage change=.
percentage change=25% .
Therefore, percentage change=25% .
Answer
https://zoom.us/j/99385592884?pwd=ajVOcXZSbGcyT3N3N0kxQm5Zek81Zz09er:
Step-by-step explanation: