Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
![cos^{-1}[\frac{5}{13} ] = \alpha](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%5B%5Cfrac%7B5%7D%7B13%7D%20%20%5D%20%3D%20%5Calpha)
where, alpha is some angle that satisfies the assumed condition.
- so,
[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin
= 
[by general trigonometry formula: ![cos^{2}[\beta] +sin^{2}[\beta]=1](https://tex.z-dn.net/?f=cos%5E%7B2%7D%5B%5Cbeta%5D%20%20%2Bsin%5E%7B2%7D%5B%5Cbeta%5D%3D1)
]
so if , we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
![2\beta = 2*sin[\beta ]*cos[\beta ]](https://tex.z-dn.net/?f=2%5Cbeta%20%20%3D%202%2Asin%5B%5Cbeta%20%5D%2Acos%5B%5Cbeta%20%5D)
[by general trigonometry formula]
- here, now
![sin[2\alpha ]=2*(+or- 12/13)*5/13\\](https://tex.z-dn.net/?f=sin%5B2%5Calpha%20%5D%3D2%2A%28%2Bor-%2012%2F13%29%2A5%2F13%5C%5C)
so, the final value can be 120/169 or -120/169.
Answer:
177 pounds
Step-by-step explanation:
Create an equation to represent the system.
Since it's 18% more than what was used last month an equation can be written such as the one below:
(118%)( last month's cheese ) = this month's cheese
Convert the percentages into decimals by moving the decimal place at the end of 118.00 two places to the left
118% = 1.18
( 1.18 )( last month's cheese ) = this month's cheese
Next, plug in the number for last month's cheese
( 1.18 )( 150 pounds) =
177 pounds
If u end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even if u end up with the exact opposite of what you started with (that is, if f (−x) = −f (x), so all of the signs are switched) then the function is odd
Answer:
Yes
Step-by-step explanation:
