SOLUTION: Use the Maclaurin expansion of sin x to find the value of sin 45 correct to four decimal places
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Question 893601: Use the Maclaurin expansion of sin x to find the value of sin 45 correct to four decimal places
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The Maclaurin series expansion is,
where is the k-th derivative of the function.
In this case,
Then take the value of each at
Putting it all together,
You begin to see the pattern,
So find the value of 45 degrees in radians,
And substitute,
I think that's pretty good compared to
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