Answer:
The height of the baseball is 35 feet at the moment the player begins to leap.
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.
We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)
N = -(sin7A - sinA) + sin5A - sin3A
= -2cos4A*sin3A + 2cos4A*sinA
= 2cos4A(sinA - sin3A)
= 2cos4A*2cos(2A)sin(-A)
= -4cos4A*cos2A*sinA
D = cos7A + cosA - (cos5A + cos3A)
= 2cos4A*cos3A - 2cos4A*cosA
= 2cos4A(cos3A - cosA)
= 2cos4A*(-2)sin2A*sinA
= -4cos4A*sin2A*sinA
Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
= cos2A/sin2A
= cot2A
This verifies the identity.
Answer:
sensitivity analysis
Step-by-step explanation:
The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the analysis of the results. This type of analysis is called Sensitivity analysis.
It helps us figure out the robustness of a system or model in the presence of an uncertainty
It also increases the relationship between the inputs and outputs from the system or model
The interest means the amount that adds up to your previous capital that you invest in the past. If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased, not decreased.
Answer:
Two dogs and three ducks
Step-by-step explanation:
Dogs have four legs and ducks have two, to find the answer, you add the number to get your answer.
In this case, two dogs would make a total of 8 legs and three ducks would make a total of 6 legs. Adding 8 and 6 together, you get 14.
