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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:
2. 8x
3. (12/2)*(10/2)
Step-by-step explanation:
Answer:
He paid 29.75
Step-by-step explanation:
15 percent of 35.00 is 5.25
35.00-5.21=29.75
the answer then is $5.25