TMUA Sed (CoderLovesEggs) Paper 2 with Solutions · Question 17

The function

f(x)=A\sin x+B\sin^3x+1

has unknown constants $A,B$ .

A student wishes to deduce the values of $A$ and $B$ , thereby deducing $f(x)$ . For any chosen value of $x$ , they are given the value of $|f(x)|$ .

The student is given the values of $|f(x)|$ only after choosing all desired inputs for $x$ .

How many pairs of values $(x,|f(x)|)$ are necessary to guarantee that the student can deduce $f(x)$ ?

1

;

2

;

3

;

4

;

5

;

6

;

Gno number of such pairs guarantees the deduction of

f(x)

examday