please give a more detailed question and i will be happy to try and help with your question
You can line up 8 cards 64 different ways.
8 * 8 = 64
Answer:
7.55 miles
Step-by-step explanation:
Given that :
Distance of descent = 1.5 miles
New elevation point after descent = 6.05 miles
The initial elevation of the plane before descent will be :
New elevation point after descent + Distance of descent
(6.05 miles + 1.5 miles)
= 7.55 miles
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
