Answer:
9 p.m.
Step-by-step explanation:
Lowest common multiple (LCM) of 6 and 4.
LCM of 6, 4 = 2 × 2 × 3 = 12
After 12 hours 9 A.M. = 9 P.M.
After 12 hours at 9 P.M. she will take both medicines together again.
Answer:
See the proof below
Step-by-step explanation:
For this case we need to proof the following identity:

We need to begin with the definition of tangent:

So we can replace into our formula and we got:
(1)
We have the following identities useful for this case:


If we apply the identities into our equation (1) we got:
(2)
Now we can divide the numerator and denominato from expression (2) by
and we got this:

And simplifying we got:

And this identity is satisfied for all:

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