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:
f(x) = 3(0.2)^x
Step-by-step explanation:
The leading coefficient is 3 as x = 0 gives f(x) = 3.
When x = 1, f(x) = 0.6. so try :
0.6 =3(1.2)^1 = 3.6 so it's not the fiirst choice.
0.6 = 3(0.2)^1 = 0.6 so its last choice.
Check when x = -1:
3(0.2)^-1
= 3/ 0.2
= 15
Answer:
(-x,y) To (x,-y)
Step-by-step explanation:
Answer:
I believe it is the second answer;
F(x)= (1/2)(2)^x
Step-by-step explanation:
1. the initial value is 0.5, so the first number will have to be 1/2, and it is increasing so the value of <em>b</em> must be above 1.
2. Through process of elimination, you can determine that the second equation matches the graph.
I hoped this helped! Please comment if you have any questions :)
Answer:
the answer is 31
Step-by-step explanation:
all together is 71 and since part of it is bisected angle lkm is also 20. so u take 71-20-20 and get 31
