Please simplify this problem
1 answer:
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Answer:
-sin(4a)
Step-by-step explanation:
The factors can be simplified as follows:
sin(3π/2 -a) = -cos(a)
cos(π/2 +a) = -sin(a)
cos(π +2a) = -cos(2a)
Then the product can be written ...
y = 4sin(3π/2 -a)· cos(π/2 +a)·cos(π +2a) = 2(2(-cos(a))(-sin(a))·(-cos(2a))
Using the relation ...
sin(2a) = 2sin(a)cos(a), we get ...
y = 2(sin(2a)(-cos(2a)) = -2sin(2a)cos(2a)
y = -sin(4a)
The simplified expression is -sin(4a).
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Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):
And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!