Notice that
• <em>π</em>/2 = <em>π</em>/3 + <em>π</em>/6
• <em>π</em>/6 = <em>π</em>/3 - <em>π</em>/6
Recall the angle sum identities for sine:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
sin(<em>x</em> - <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) - cos(<em>x</em>) sin(<em>y</em>)
By adding these together, we get
sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>) = 2 sin(<em>x</em>) cos(<em>y</em>)
==> sin(<em>x</em>) cos(<em>y</em>) = 1/2 (sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>))
Now take <em>x</em> = <em>π</em>/3 and <em>y</em> = <em>π</em>/6 :
sin(<em>π</em>/3) cos(<em>π</em>/6) = 1/2 (sin(<em>π</em>/2) + sin(<em>π</em>/6))
So the blank should be filled with cos.
Answer:
53
Step-by-step explanation:
Check it mate, triangles must add up to 180 and the angles at the bottom are equal right? so we know the top angle is 74 so 180-74 = 106. ok so 106 / 2 = 53.
Answer:
15 over c
Step-by-step explanation:
Answer:
never
Step-by-step explanation:
let k be the scale ratio of two bodies then according to the question
k = a/b -- (1)
let Sa be the surface area of body A and Sb be the surface area of body B , then
according to the relation of scale factor and surface areas
from the above equation ,
as k = a/b from (1)
therefore
hence the ratio of their surface area is 
The area of a garden is the amount of space the garden occupies
<em>The area of the garden is (c) 375 ft^2</em>
The given parameters are:
<em />
<em> --- Length equals 15 times width</em>
The perimeter of a rectangle is:
Substitute known values
Divide through by 2
Divide through by 16
Rewrite as:
The area of a rectangle is:
Substitute
Substitute
Hence, the area of the garden is <em>(c) 375 ft^2</em>
Read more about areas at:
brainly.com/question/2077866
