I’m pretty sure it’s Number 3. Hope I’m Right.
Answer:
13 1/2
Step-by-step explanation:
9 ÷ 2/3
Copy dot flip
9 * 3/2
27/2
Change from an improper fraction to a mixed number
2 goes into 27 13 times with 1 left over
13 1/2
6 goes 4 times into 28 because 6 x 4 = 24
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
