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:
100
Step-by-step explanation:
1/10(3n+50)=35
3n+50=35*10
3n+50=350
3n=350-50
3n=300
n=300/3
n=100
Answer:
=408x3+1556x2−4008x+1564
Step-by-step explanation:\
(8x−4)(3x+17)(17x−23)
C. not all birds fly.
When using _:_, you are contrasting two things so, you are putting a argument to go against the other side.
Not all birds can fly is going against All birds can fly.
Hope this helps. :)
Answer:9000
Step-by-step explanation:
