Answer:
see below
Step-by-step explanation:
prove: sin²x cos²y - cos²x sin²y ≡ sin²x - sin²y
we notice that the Right side only has sin² functions, hence we can start by trying to remove the cos² functions from the Left side.
Recall the identity: sin²α + cos²α = 1 , can be rearranged to give us:
cos²α = 1 - sin²a.
If we apply this to the left side of our equation, then
cos²y = 1-sin²y, and cos²x = 1-sin²x
Substituting these into the left side of the equation:
sin²x cos²y - cos²x sin²y
= sin²x (1-sin²y) - (1-sin²x ) sin²y
= sin²x - (sin²x sin²y) - sin²y + (sin²x sin²y)
= sin²x - sin²y
= Right Side of equation (Proven!)
Answer:
$493.01
Step-by-step explanation:
463.28 + 28.35 + 78.88 - 77.50
Answer: 20 cm ^2 (20 cm squared)
Step-by-step explanation:
This is a rectangular prism so Volume = Length(Width)(Height)
You only know the height and Volume so you do :
60 = L(W)(3) :then bring the 3 over:
60/3 = L(W)
20 = L(W)
Since area = L(W)
20 is your answer.
