Cosine is co added onto sine. Basically, cosine is the sine function moved over 90degrees or pi/2 (pi/2 on a unit circle is 90 degrees)
Sin(x)=cos(x+90) <--degrees
Sin(x)=cos(x+pi/2) <--radians
The above two equations for converting them is called a cofunction identity. There's many more identities to convert sines, cosines, tangents, cosecantes, secantes, and cotangents between each other. This is taught to you in PreCalculus.
<h3>
Answer: (12,3)</h3>
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Explanation:
R is located at (3,4). Move it 3 units to the left and 4 units down to have it move to (0,0). Call this point A. Apply the same translation rule to point B so that (2,-5) moves to (-1,-9). Let's call this point C
Now you'll use the rule
which rotates any point around the origin 90 degrees counterclockwise. So we're rotating C around A.
Point C has the coordinates (-1,-9). When you use the rotation rule
we get
. We'll call this point D
Finally, undo the translation rule done at the start of the problem. So we'll go 3 units to the right and 4 units up to have point D move to point E = (12,3) which is exactly where point B' is located.
Check out the diagram below.
Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
Answer:
No they don't.
LINK TO PICTURE OF WORK - My uploads aren't working my apologies.
https://tex.z-dn.net/?f=A%3A%5C%5C(2*2*2)%2B(3*2*2)%2B(3*2*2)%3D%5C%5C(4*2)%2B(6*2)%2B(6*2)%3D%5C%5C8%2B12%2B12%3D%5C%5C20%2B12%3D%5C%5C32%20cm%5E2%5C%5C%5C%5CB%3A%5C%5C(1*3*2)%2B(1*4*2)%2B(3*4*2)%3D%5C%5C(3*2)%2B(4*2)%2B(12*2)%3D%5C%5C6%2B8%2B24%3D%5C%5C14%2B24%3D%5C%5C38%20cm%5E2