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
![n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}](https://tex.z-dn.net/?f=n%5B%2Ftex%20%5Dis%20any%20integer.%5C%5CMeanwhile%2C%5C%5C%5Btex%5D10%5Csin%20x-3%3D0%5Cimplies%5Csin%20x%3D%5Cdfrac3%7B10%7D)
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
.
1.a
2.d
3. they all are the same type of number, real rationals
4. No irrational number is a rational number
5.No irrational number is a integer
Distribute Property 5(x+6) basically means 5×x + 5×6 = 5x+30
37= -3+5x+30 (subtract 30 on both sides)
7=-3+5x (add three on both sides)
10= 5x (divide 5 on both sides)
x=2
Is this even a question, it seems to be more of a statement..
15 is the answer
if its estimate, its basically asking 30% of 50
