Question 12 (1 point) If f(x)=sinx use the linear approximation of f(x) to evaluate sin((pi )/(6)+(1)/(10)) (10-sqrt (3))/(20) (2)/(5) (9)/(20) (5-sqrt (3))/(10) (10+sqrt (3))/(20)

Question

Answer 1

## Step 1: Find the derivative of

### The derivative of

is

.## Step 2: Calculate

and

at

###

## Step 3: Write the linear approximation formula### The linear approximation of

at

is given by

. In our case,

and

.## Step 4: Substitute the values and simplify###

###

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