Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g?Question 7Select one:ย ๐๐๐๐กโ๐๐ย ๐ดย ๐๐๐ย ๐ตย ๐ต๐๐กโย ๐ดย ๐๐๐ย ๐ต3ย +ย ๐ฅ2ย ย ๐๐๐๐ฅ
Question
Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g?
Question 7
Select one:
- ๐๐๐๐กโ๐๐ ๐ด ๐๐๐ ๐ต
- ๐ต๐๐กโ ๐ด ๐๐๐ ๐ต
- 3
-
- ๐ฅ2
- ๐๐๐๐ฅ
Solution
The question seems to be incomplete. However, based on the information given, we can analyze the functions f = cos2x and g = sin2x. These are trigonometric functions and the space spanned by these functions will also be within the realm of trigonometric functions.
Option A: 3 + x^2 is a polynomial function, not a trigonometric function. So, it does not lie in the space spanned by f and g.
Option B: Sinx is a trigonometric function. However, it is not a linear combination of f and g. Therefore, it also does not lie in the space spanned by f and g.
So, the answer would be "Neither A nor B".
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