by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
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which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
Answer:
Ask yourself: "Can I roll a prime number and an odd number at the same time?"
Since the answer is "yes it is possible" (eg: rolling a 3), this means the two events are not mutually exclusive. Mutually exclusive events have nothing in common.
In terms of a venn diagram, mutually exclusive events have no overlapping shared region.Step-by-step explanation:
None of these is correct.
-4(5-x)
= (-4•5) + (-4•-x)
= -20 + 4x
= 4x-20
Equation A. 4(t-6)=3t+9; 4t-24=3t+9; t-24=9; t=9+24; t=33;
