Answer:
.
Step-by-step explanation:
The given expression is
![2\cos^{-1}\left(-\frac{\sqrt{2}}{2}\right)](https://tex.z-dn.net/?f=2%5Ccos%5E%7B-1%7D%5Cleft%28-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5Cright%29)
It can be rewritten as
![2\cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)](https://tex.z-dn.net/?f=2%5Ccos%5E%7B-1%7D%5Cleft%28-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5Cright%29)
![[\because \cos^{-1}(-x)=\pi-\cos^{-1}(x), x\in [-1,1]]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%5E%7B-1%7D%28-x%29%3D%5Cpi-%5Ccos%5E%7B-1%7D%28x%29%2C%20x%5Cin%20%5B-1%2C1%5D%5D)
![2\left [\pi-\cos^{-1}\left(\cos \frac{\pi}{4}\right)\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cpi-%5Ccos%5E%7B-1%7D%5Cleft%28%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%5Cright%5D)
![2\left [\pi-\frac{\pi}{4}\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cpi-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%5D)
![2\left [\frac{4\pi-\pi}{4}\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cfrac%7B4%5Cpi-%5Cpi%7D%7B4%7D%5Cright%5D)
![\frac{3\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%7D%7B2%7D)
Hence, the exact value of given expression is
.
Answer:
f(-4) = 4
Step-by-step explanation:
We know that f(x) = y.
We also know that f(-4) means that x = -4.
The y value of (-4, y) is 4, therefore... f(-4) = 4.
Answer:
I think this is the correct answer
What are the answers given to you? The y intercept is 3. Slope is -1
Answer:
$976,578.71
Step-by-step explanation:
We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...
A = P(1+r)((1+r)^n -1)/r
where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.
A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71
The future value is $976,578.71.