The differential vector is found with the tangent line + right triangle method. Its magnitude of 1 comes from the arc length of a 1-radian arc.
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left parenthesis, cos left parenthesis, alpha , right parenthesis , sin left parenthesis, alpha , right parenthesis , right parenthesiscosα,sinα
Differential vector:
left parenthesis, negative sin left parenthesis, alpha , right parenthesis , cos left parenthesis, alpha , right parenthesis , right parenthesis−sinα,cosα