Question

let f=cos^2x and g=sin^2x which of the following lie in the space spanned by f and g
a)cos2x
b)3+x^2
c)1
d)sinx
e)0

Answer 1

a, d, e

Answer 2

how sir

Answer 3

not c?

Answer 4

The idea is that it must be a linear combination of those two functions.

Answer 5

since sin^2 + cos^2 = 1?

Answer 6

right bleh

Answer 7

hoe is d possible

Answer 8

oops I guess a, c, e

Answer 9

i thought d was possible too >.< guess not

Answer 10

d is not possible

Answer 11

@joemath sir how is d possible

Answer 12

no, its not, your right, i just thought at first glance it was.

Answer 13

thanks sir i got concept

Answer 14

Please tell me the solution to this question Im not able to find the linear combinations of f and g.