I suspect you mean
1/8 sin(4<em>t </em>) = 1/2 (cos³(<em>t</em> ) sin(<em>t</em> ) - sin³(<em>t</em> ) cos(<em>t</em> ))
On the right side, pull out a factor of cos(<em>t</em> ) sin(<em>t</em> ):
1/2 (cos³(<em>t</em> ) sin(<em>t</em> ) - sin³(<em>t</em> ) cos(<em>t</em> )) = 1/2 cos(<em>t</em> ) sin(<em>t</em> ) (cos²(<em>t</em> ) - sin²(<em>t</em> ))
Recall the double angle identities for sin and cos :
sin(2<em>t</em> ) = 2 sin(<em>t</em> ) cos(<em>t</em> )
cos(2<em>t</em> ) = cos²(<em>t</em> ) - sin²(<em>t</em> )
Then
… = 1/4 (2 cos(<em>t</em> ) sin(<em>t</em> )) (cos²(<em>t</em> ) - sin²(<em>t</em> ))
… = 1/4 sin(2<em>t</em> ) cos(2<em>t</em> )
… = 1/8 (2 sin(2<em>t</em> ) cos(2<em>t</em> ))
… = 1/8 sin(4<em>t</em> )
Answer:
The height of the cone is
Step-by-step explanation:
we know that
The volume of a cone is equal to
In this problem we have
----> the radius is half the diameter
assume
substitute the values and solve for h
Answer:
8
Step-by-step explanation:
21-13=8
m=8
Answer:
-3
Step-by-step explanation:
since the 9 in negative you subtract 9 by 6 and you get 3 then you put the negative sign in front of the 3 making it -3
Answer:
26 units
Step-by-step explanation:
6+6+7+7 = 26 units