Recall the values of the trigonometric functions at the required angles:
![\begin{array}{c|c|c}\alpha&\cos(\alpha)&\sin(\alpha)\\0&1&0\\90&0&1\\180&-1&0\\270&0&-1\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7Cc%7D%5Calpha%26%5Ccos%28%5Calpha%29%26%5Csin%28%5Calpha%29%5C%5C0%261%260%5C%5C90%260%261%5C%5C180%26-1%260%5C%5C270%260%26-1%5Cend%7Barray%7D)
So, the number -4 can be thought of as
![-4 = 4(-1+0i) = 4(\cos(180)+i\sin(180))](https://tex.z-dn.net/?f=-4%20%3D%204%28-1%2B0i%29%20%3D%204%28%5Ccos%28180%29%2Bi%5Csin%28180%29%29)
9514 1404 393
Answer:
- 20% decay
- 40% growth
- 80% decay
- 40% decay
- 60% growth
Step-by-step explanation:
The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.
For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.
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Here, we'll list the growth factor and the rate of change:
growth factor ⇒ rate of change
0.8 ⇒ 20% decay
1.4 ⇒ 40% growth
0.2 ⇒ 80% decay
0.6 ⇒ 40% decay
1.6 ⇒ 60% growth
Answer:
Approximately 35, or 34.67
Step-by-step explanation:
You can set up a cosine (adjacent over hypotenuse) equation.
cos38 = x/44
Move the 44 over and plug into the calcultaor.
x = 44cos38
(make sure the mode is on degree and not radian!)
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