,

Consider the function used to find the linearization at .

Substitute the value of into the linearization function.

Replace the variable with in the expression.

Simplify .

Remove parentheses.

The exact value of is .

The derivative of with respect to is .

Replace the variable with in the expression.

The exact value of is .

Substitute the components into the linearization function in order to find the linearization at .

Apply the distributive property.

Combine and .

Multiply .

Multiply and .

Multiply by .

Write the equation in form.

Find the Linearization at a=p/6 f(x)=sin(x) , a=pi/6