Cos9x - cos5x = -2sin2x.sin7x
sin17x - sin3x = 2sin7x.cos10x
so f(x) =

=
we know that
The least
common multiple (LCM) of two or more numbers is the least
number, other than zero, that is a multiple of all the numbers.
In this problem, we are looking for the least common multiple of
and
So
Multiply
by 

therefore
On the
day after today, she will do both on the same day
the answer is

Answer:
They are equal.
Step-by-step explanation:
First, we can simplify the second equation by multiplying 7 times 6 and then 7 times 5 due to the distributive property.

Therefore, using the distributive property, they are equal.
Answer: trivial solution is the only solution to Ax = 0, therefore columns must be linearly independent.
Step-by-step explanation: Recall that the columns of A are linearly independent if and only Ax = 0 had only the trivial solution. Since Ax = b has at most one solution, therefore the only solution to Ax = 0 is the trivial solution and the column vectors must be linearly independent.