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> )
Yes a statistical question would get a variety of data
Answer:
y=4x
Step-by-step explanation:
First, find the slope
We know 2 points, (2,8) and (12,48).
(2,8) can be (x1, y1)
(12,48) can be (x2, y2)
We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in
m=4
Now, we can use the point slope formula, since we have a point and the slope
We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in
y-8=4(x-2)
Distribute the 4
y-8=4*x-2*4
y-8=4x-8
Add 8 to both sides
y=4x
21 or 0.21 they are the same
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ <u>y= -21</u>;
3) <u>m∠MNO</u>=-2y-2°=42°-2°=<u>40</u>°.