is a complex number that satisfies
![\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dr%5Ccos%20x%3D-3%5C%5C%5B1ex%5Dr%5Csin%20x%3D4%5C%5C%5B1ex%5Dr%3D%5Csqrt%7B%28-3%29%5E2%2B4%5E2%7D%5Cend%7Bcases%7D)
The last equation immediately tells you that
.
So you have
![\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%5Ccos%20x%3D-%5Cdfrac35%5C%5C%5B1ex%5D%5Csin%20x%3D%5Cdfrac45%5Cend%7Bcases%7D)
Dividing the second equation by the first, you end up with
Because the argument's cosine is negative and its sine is positive, you know that
. This is important to know because it's only the case that
whenever
. The inverse doesn't exist otherwise.
However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by
, we have
All this to say
So,
.
Answer: 20
Step-by-step explanation:
Not sure, there is no graph with it. I just edited the question to fix the formatting and to add in info that got cut off when iI pasted it in.
Answer:
m<1 = 87
m<2 = 49
m<3 = 87
m<4 = 68
Step-by-step explanation:
2 and 49 are flipped across the split so they are the same answer. If you do 180 - 93 you'll get 87 for 3. 4 and 68 are paired like 2 and 49 are. and 1 and 3 are the same exact way. If I remember correctly.
6/100+11/100+19/100= 36/100. 36/100 in simplest form is 9/25
