<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
There are 6 different combinations of 2 books from the group of 4 that he could choose to do.
Let's say all of the books were letters.
Books a, b, c, and d.
Different combinations include:
ab, ac, ad, bc, bd, and cd.
SAS hope this helps !!!!!!!
Answer:
66
Step-by-step explanation:
Answer:
1. Make a table
2. Combine numbers
Step-by-step explanation:
First what you need to do is make a table making 2 columns, then name them tens and one. Put the tens place in the tens column and put the ones place in the ones column. Then, put all the numbers mentioned (16, 35, 24, 14) in the table and add the tens then add the ones!
Another strategy you can use is combining numbers. With 35 and 16 you can combine them to make 51. Then combine 24 and 14 to make 38. Then you add 51 and 38 to get 89.
I hope this helped your homework!
