Recall that 2sin(x) cos(x) is actually equal to sin(2x).
We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx
Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
Answer:
3
Step-by-step explanation:
3*5=15
Answer:
(1.5, 2.5) is the best approximate solution.
Step-by-step explanation:
According to the graph, at the point of intersection of these two lines, x is closest to 1.5 and y is simultaneously closest to 2.5.
(1.5, 2.5) is the best approximate solution.
1) 3/5=9/x (cross multiply<span>)
3x=5(9)
3x=45
x=15
2) </span>2/4=x/12 (cross multiply<span>)
</span> 2(12)=4x
24=4x
<span> 6=x
</span>3) 10/x=5/9 (cross multiply<span>)
10(9)=5x
90=5x
18=x
</span>
4) 5/6=x/18
5(18)=6x
90=6x
x=15
Step-by-step explanation:
a) 6 hundreds+ 7 tens+8 ones
b) 5 thousands+2 tens+1 ones
c) 7 thousand+8 hundreds+ 4 ones
d) 6 thousands+ 3 hundreds
