2sinxcosx - sin(2x)cos(2x) = 0
<span>Part I </span>
<span>The double angle identity for sine states that sin(2x) = 2sinxcosx </span>
<span>Thus we get: </span>
<span>sin(2x) - sin(2x)cos(2x) = 0 </span>
<span>Part II </span>
<span>sin(2x)(1 - cos(2x)) = 0 </span>
<span>Part III </span>
<span>Either sin(2x) = 0 or </span>
<span>1 - cos(2x) = 0 </span>
<span>=> cos(2x) = 1 </span>
<span>For sin(2x) = 0, this is true for </span>
<span>2x = n(pi) where n = 0, 1, 2, .... </span>
<span>x = n(pi/2) </span>
<span>For cos(2x) = 1, this is true for </span>
<span>2x = n(pi) where n = 0, 2, 4, .... </span>
<span>x = n(pi/2)
</span>
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Answer:
0.45 cm
Step-by-step explanation:
Actual length of the micro chip

Convert your feet to inches.
So 8 times by 12 = 96 inches
if you have 3/4 of the board used.
3/4= .75
if you were to times 96 by .75 = 72 inches.
So you used 72 inches and you have 24 inches left
now do 1/3= .33
times .33 by 24= 8
8 inches is how long you would give to Anthony's brother.
Find the area of the rectangle. 39 times 16=
624-pi (radius squared)
624-3.14 times 8 squared
624- 200.96
423.04 cm ^2