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minus sign cancels with this minus sign
to give me sine of X you follow that a
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to give me sine of X you follow that a
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to give me sine of X you follow that a
lot of minus ones cancelling out there
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lot of minus ones cancelling out there
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lot of minus ones cancelling out there
so all of a sudden I'm right back where
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so all of a sudden I'm right back where
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so all of a sudden I'm right back where
I started these two are the same and the
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I started these two are the same and the
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I started these two are the same and the
pattern will now repeat forever and ever
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pattern will now repeat forever and ever
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pattern will now repeat forever and ever
higher and higher derivatives of signs
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higher and higher derivatives of signs
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higher and higher derivatives of signs
are just plus or minus signs and
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are just plus or minus signs and
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are just plus or minus signs and
co-signs
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co-signs
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co-signs
now if the Taylor's Taylor's formula
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now if the Taylor's Taylor's formula
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now if the Taylor's Taylor's formula
says I should now substitute x equals
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says I should now substitute x equals
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says I should now substitute x equals
zero into this and see what happens so
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zero into this and see what happens so
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zero into this and see what happens so
let's do that when X is equal to zero
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let's do that when X is equal to zero
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let's do that when X is equal to zero
the sine is zero the cosine is one the
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