Let `A={-1,1}`. Let functions f, g and h of A be defined by :
(i) f(x)=x (ii) `g(x)=x^(3)` (iii) `h(x)=sinx`.

Answer

To solve the problem, we will evaluate the functions \( f \), \( g \), and \( h \) for the elements of the set \( A = \{-1, 1\} \).

### Step 1: Define the set and functions
The set \( A \) is defined as:
\[ A = \{-1, 1\} \]
The functions are defined as follows:
1. \( f(x) = x \)
2. \( g(x) = x^3 \)
3. \( h(x) = \sin x \)

### Step 2: Evaluate \( f(x) \)
We will evaluate \( f(x) \) for each element in set \( A \):
- For \( x = -1 \):
\[ f(-1) = -1 \]
- For \( x = 1 \):
\[ f(1) = 1 \]

### Step 3: Evaluate \( g(x) \)
Next, we evaluate \( g(x) \) for each element in set \( A \):
- For \( x = -1 \):
\[ g(-1) = (-1)^3 = -1 \]
- For \( x = 1 \):
\[ g(1) = 1^3 = 1 \]

### Step 4: Evaluate \( h(x) \)
Finally, we evaluate \( h(x) \) for each element in set \( A \):
- For \( x = -1 \):
\[ h(-1) = \sin(-1) \]
- For \( x = 1 \):
\[ h(1) = \sin(1) \]

### Summary of Results
Now we can summarize the results:
- \( f(-1) = -1 \), \( f(1) = 1 \)
- \( g(-1) = -1 \), \( g(1) = 1 \)
- \( h(-1) = \sin(-1) \), \( h(1) = \sin(1) \)