Answer:
sin B = 15/17
Cos B = 8/17
Tan B = 15/8
Step-by-step explanation:
Answer: x ≤3
Step-by-step explanation:
Your answer is correct
Answer:
There's 3 questions which one do I answer?
Step-by-step explanation:
If
![f(\theta)=10\cos\theta+5\sin^2\theta](https://tex.z-dn.net/?f=f%28%5Ctheta%29%3D10%5Ccos%5Ctheta%2B5%5Csin%5E2%5Ctheta)
then the derivative is
![f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta](https://tex.z-dn.net/?f=f%27%28%5Ctheta%29%3D-10%5Csin%5Ctheta%2B10%5Csin%5Ctheta%5Ccos%5Ctheta)
Critical points occur where
. This happens for
![-10\sin\theta+10\sin\theta\cos\theta=0](https://tex.z-dn.net/?f=-10%5Csin%5Ctheta%2B10%5Csin%5Ctheta%5Ccos%5Ctheta%3D0)
![-10\sin\theta(1-\cos\theta)=0](https://tex.z-dn.net/?f=-10%5Csin%5Ctheta%281-%5Ccos%5Ctheta%29%3D0)
![\implies-10\sin\theta=0\text{ or }1-\cos\theta=0](https://tex.z-dn.net/?f=%5Cimplies-10%5Csin%5Ctheta%3D0%5Ctext%7B%20or%20%7D1-%5Ccos%5Ctheta%3D0)
In the first case, we find
![-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi](https://tex.z-dn.net/?f=-10%5Csin%5Ctheta%3D0%5Cimplies%5Csin%5Ctheta%3D0%5Cimplies%5Ctheta%3Dn%5Cpi)
In the second,
![1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi](https://tex.z-dn.net/?f=1-%5Ccos%5Ctheta%3D0%5Cimplies%5Ccos%5Ctheta%3D1%5Cimplies%5Ctheta%3D2n%5Cpi)
So all the critical points occur at multiples of
, or
. (This includes all the even multiples of
.)
Answer:
slope =0
Step-by-step explanation:
its on the point (4,0) its not moving up and down therefor there's no slope