Find the Linearization at a=p/3 f(x)=sin(x) , a=pi/3

Math
,
Consider the function used to find the linearization at .
Substitute the value of into the linearization function.
Evaluate .
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Replace the variable with in the expression.
Simplify .
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Remove parentheses.
The exact value of is .
Find the derivative and evaluate it at .
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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 .
Simplify each term.
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Apply the distributive property.
Combine and .
Multiply .
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Multiply and .
Multiply by .
Write the equation in form.
Find the Linearization at a=p/3 f(x)=sin(x) , a=pi/3

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