Answer:
147,456
Step-by-step explanation:
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)
Step-by-step explanation:
the distance is sqrt ( (-6)^2 + (-12)^2) = sqrt( 36 + 144) = sqrt( 180) = sqrt(36*5) = 6 * sqrt(5)
2/(2+4) = 2/6 = 1/3
-2 + (1/3)*6*sqrt(5) = -2 + 2* sqrt(5)
6 + (1/3)*6*sqrt(5) = 6 + 2* sqrt(5)
Answer:
15.6 ft
Step-by-step explanation:
Let's call
- a: distance from the top of the ladder to the ground = 10 ft
- b: distance from the bottom of the ladder to the bottom of the slide = 12 ft
From Pythagorean theorem:
c² = a² + b²
c = √(10² + 12²)
c = 15.6 ft
